BIGsmall iteration

 

 

Hello Jean-Marc,

Cette idée-ci n’a rien donné (sur Math-Fun).

Elle est p.-ê. un peu tirée par les (sommes des) cheveux !

à+

É.

 

--------------

Hello Math-fun,,

a light (iterating) idea (too light, I’m afraid)...

 

Take an integer N (N = 1750 here)

Make the sum of N’s digits and call it D (D = 13 here)

Now build the integers B (big) and S (small) like this:

- B is the biggest integer you can write using one digit

 of N and all the digits of D (here 7 and 1,3 --> B = 731)

- S is the smallest integer you can write using one digit

 of N and all the digits of D (here 0 and 1,3 --> S = 103)

Now iterate, computing B, then S, then B, then S, etc.

 

Let’s see what happens, starting with 1 (the line under

the sequence shows D (digit sum) then B (big), then D,

then S (small), then D, then B, then D, then S, ...

 

1---11---12---32---25---75---125---85---135---95---145

  1  B 2  S 3  B 5  S 7  B 12 S  8  B 13 S  9  B 14 S

 

145---510---16---76---136---610---17---87 ...

 S 10  B  6  S 7  B 13 S  10 B  7  S 8  B  ...

 

Where do we get? (loops, fixed points, flights, etc.)

 

Best,

É.

 

(and what about iterating only B’s? Or S’s?)

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Salut Eric,

(...) j’ai regardé ce Big and Small. Malheureusement, si je ne me suis pas trompé, cela ne donne pas grand chose...

La période est toujours la même, ça boucle sur :

 

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115},

 

... de longueur 36 ; la boucle ne commence pas toujours par 75, mais est toujours composée des mêmes 36 nombres.

 

Ci-dessous, les 50 premières suites (celle commençant, par 1, puis celle commençant par 2, etc.), puis, après ces 50 premiers résultats, une ou deux au hasard commençant par des nombres gigantesques. On a toujours la même chose...

 

Si on itère seulement BIG, on finit toujours rapidement sur une boucle à un élément, 911 ou 921, ou 931, ou 941, ou 951, ou 961, ou 971, ou 981, ou 991.

 

Si on itère seulement small, on tombe toujours rapidement sur {13, 14, 15, 16, 17, 18, 19, 101, 12}, de période 9, ne commençant pas toujours par 13, mais comportant toujours les mêmes 9 éléments.

 

Voici les itérations de BIG-small :

__________

{1, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111}

Source : 1

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 6

Longueur de la période : 36

__________

{2, 22, 24, 64, 104, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178}

Source : 2

Période :

{54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Période commençant à l’élément : 6

Longueur de la période : 36

__________

{3, 33, 36, 96, 156, 621, 19, 910, 100, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16}

Source : 3

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 14

Longueur de la période : 36

__________

{4, 44, 48, 821, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18}

Source : 4

Période :

{111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731}

Période commençant à l’élément : 5

Longueur de la période : 36

__________

{5, 55, 105, 65, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111}

Source : 5

Période :

{115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861}

Période commençant à l’élément : 5

Longueur de la période : 36

__________

{6, 66, 126, 96, 156, 621, 19, 910, 100, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16}

Source : 6

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 14

Longueur de la période : 36

__________

{7, 77, 147, 721, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145}

Source : 7

Période :

{101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811}

Période commençant à l’élément : 5

Longueur de la période : 36

__________

{8, 88, 168, 851, 114, 64, 104, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18}

Source : 8

Période :

{54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Période commençant à l’élément : 8

Longueur de la période : 36

__________

{9, 99, 189, 981, 118, 810, 19, 910, 100, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16}

Source : 9

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 14

Longueur de la période : 36

__________

{10, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111}

Source : 10

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 6

Longueur de la période : 36

__________

{11, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136}

Source : 11

Période :

{21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101}

Période commençant à l’élément : 2

Longueur de la période : 36

__________

{12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Source : 12

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 4

Longueur de la période : 36

__________

{13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17}

Source : 13

Période :

{13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21}

Période commençant à l’élément : 1

Longueur de la période : 36

__________

{14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125}

Source : 14

Période :

{14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31}

Période commençant à l’élément : 1

Longueur de la période : 36

__________

{15, 65, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Source : 15

Période :

{115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861}

Période commençant à l’élément : 3

Longueur de la période : 36

__________

{16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13}

Source : 16

Période :

{16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510}

Période commençant à l’élément : 1

Longueur de la période : 36

__________

{17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18}

Source : 17

Période :

{17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610}

Période commençant à l’élément : 1

Longueur de la période : 36

__________

{18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111}

Source : 18

Période :

{18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710}

Période commençant à l’élément : 1

Longueur de la période : 36

__________

{19, 910, 100, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157}

Source : 19

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 8

Longueur de la période : 36

__________

{20, 22, 24, 64, 104, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178}

Source : 20

Période :

{54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Période commençant à l’élément : 6

Longueur de la période : 36

__________

{21, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Source : 21

Période :

{21, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98}

Période commençant à l’élément : 1

Longueur de la période : 36

__________

{22, 42, 26, 86, 146, 611, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136}

Source : 22

Période :

{18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710}

Période commençant à l’élément : 7

Longueur de la période : 36

__________

{23, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145}

Source : 23

Période :

{53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113}

Période commençant à l’élément : 2

Longueur de la période : 36

__________

{24, 64, 104, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Source : 24

Période :

{54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Période commençant à l’élément : 4

Longueur de la période : 36

__________

{25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49}

Source : 25

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 2

Longueur de la période : 36

__________

{26, 86, 146, 611, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17}

Source : 26

Période :

{18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710}

Période commençant à l’élément : 5

Longueur de la période : 36

__________

{27, 97, 167, 741, 112, 42, 26, 86, 146, 611, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145}

Source : 27

Période :

{18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710}

Période commençant à l’élément : 11

Longueur de la période : 36

__________

{28, 810, 19, 910, 100, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17}

Source : 28

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 10

Longueur de la période : 36

__________

{29, 911, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178}

Source : 29

Période :

{111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731}

Période commençant à l’élément : 3

Longueur de la période : 36

__________

{30, 33, 36, 96, 156, 621, 19, 910, 100, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16}

Source : 30

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 14

Longueur de la période : 36

 

(...)

__________

{87624876248762400309824097120897234785, 9971, 126, 96, 156, 621, 19, 910, 100, 11, 12, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16}

Source : 87624876248762400309824097120897234785

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 14

Longueur de la période : 36

__________

{87624876248762400309824097120897234786, 9810, 108, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157}

Source : 87624876248762400309824097120897234786

Période :

{98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18}

Période commençant à l’élément : 4

Longueur de la période : 36

__________

{87624876248762400309824097120897234787, 9811, 119, 911, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18}

Source : 87624876248762400309824097120897234787

Période :

{111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731}

Période commençant à l’élément : 5

Longueur de la période : 36

__________

{87624876248762400309824097120897234788, 9821, 102, 32, 25, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111}

Source : 87624876248762400309824097120897234788

Période :

{75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115}

Période commençant à l’élément : 6

Longueur de la période : 36

__________

{87624876248762400309824097120897234789, 9831, 112, 42, 26, 86, 146, 611, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16}

Source : 87624876248762400309824097120897234789

Période :

{18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710}

Période commençant à l’élément : 9

Longueur de la période : 36

__________

{19990000000000000000000000000000000, 982, 129, 921, 112, 42, 26, 86, 146, 611, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145}

Source : 19990000000000000000000000000000000

Période :

{18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710}

Période commençant à l’élément : 11

Longueur de la période : 36

__________

{849872359723507350980830972359862387572582368235689235623986593875394873497, 9983, 239, 941, 114, 64, 104, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18}

Source :

849872359723507350980830972359862387572582368235689235623986593875394873497

Période :

{54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14}

Période commençant à l’élément : 8

Longueur de la période : 36

__________

{849872359723507350980830972359862387572582368235689235623986593875394873498, 9993, 303, 63, 39, 921, 112, 42, 26, 86, 146, 611, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135, 95, 145, 510, 16, 76, 136, 610, 17, 87, 157, 731, 111, 31, 14, 54, 49, 931, 113, 53, 38, 811, 101, 21, 13, 43, 37, 710, 18, 98, 178, 861, 115, 75, 125, 85, 135}

Source :

849872359723507350980830972359862387572582368235689235623986593875394873498

Période :

{18,98,178,861,115,75,125,85,135,95,145,510,16,76,136,610,17,87,157,731,111,31,14,54,49,931,113,53,38,811,101,21,13,43,37,710}

Période commençant à l’élément : 13

Longueur de la période : 36

 

...

__________

 

Merci Jean-Marc !

à+

É.