Hello Seqfans,

If we call "hofstadtering" the operation visible here http://oeis.org/A005228, we could indeed hofstadter any integer to produce a strictly increasing sequence.

Take 38, for instance and start a sequence S where S and the first differences together include all positive numbers exactly once:

S = 38   39   41   44   48   53   59   66   74   83 ...

d =    1    2    3    4    5    6    7    8    9

We see that 38 "hits" 83 (for instance) – but is 38 the smallest integer hitting 83? No, it is 1 (as one will see following the above link).

What is the sequence of the "Smallest Hofstadter Hitters" (SHH) of the natural numbers?

I guess SHH starts:

n = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ...

SHH = 1 2 1 3 4 3 1 5 6  4  3  1  7  8  5  4  7  1  9 10 ...

Best,

É.

_______________

[Lars Blomberg]:

Hi Eric,

The first 1000 values of SHH as I have found them are

1, 2, 1, 3, 4, 3, 1, 5, 6, 4, 3, 1, 7, 8, 5, 4, 7, 1, 9, 10, 6, 5, 8, 4, 10, 1, 12, 7, 6, 9, 5, 11, 4, 13, 1, 8, 7, 10, 6, 12, 5, 14, 15, 4, 1, 8, 11, 7, 13, 6, 15, 16, 5, 18, 10, 1, 3, 8, 14, 7, 16, 17, 6, 19, 20, 5, 10, 13, 1, 3, 8, 17, 18, 7, 20, 21, 6, 12, 11, 5, 10, 16, 1, 3, 19, 8, 21, 22, 7, 24, 13, 6, 15, 11, 17, 5, 19, 1, 3, 22, 23, 8, 25, 26, 7, 13, 16, 12, 6, 11, 20, 21, 5, 1, 3, 9, 26, 27, 8, 15, 14, 17, 7, 19, 12, 21, 6, 11, 24, 25, 1, 3, 4, 9, 30, 16, 15, 8, 14, 20, 13, 7, 23, 12, 25, 6, 11, 28, 29, 1, 3, 4, 17, 9, 19, 15, 21, 8, 23, 24, 13, 7, 27, 12, 29, 6, 11, 32, 33, 1, 3, 4, 20, 16, 9, 15, 24, 25, 8, 27, 28, 13, 7, 31, 12, 33, 34, 6, 11, 19, 1, 3, 4, 23, 16, 25, 9, 15, 28, 29, 8, 31, 32, 13, 34, 7, 36, 12, 38, 20, 6, 11, 1, 3, 4, 10, 27, 16, 29, 9, 15, 32, 33, 14, 8, 36, 37, 13, 39, 7, 21, 12, 23, 19, 6, 1, 3, 4, 17, 10, 31, 16, 33, 34, 9, 36, 37, 38, 14, 8, 41, 42, 13, 21, 7, 20, 12, 19, 28, 1, 3, 31, 4, 17, 34, 10, 16, 37, 38, 39, 9, 41, 42, 43, 14, 8, 22, 25, 13, 27, 7, 29, 12, 19, 1, 3, 18, 11, 4, 17, 38, 39, 10, 16, 42, 43, 44, 9, 46, 24, 23, 14, 8, 28, 21, 13, 31, 7, 33, 34, 12, 1, 3, 18, 39, 4, 41, 17, 43, 44, 10, 16, 47, 48, 25, 9, 27, 23, 29, 14, 8, 32, 21, 34, 13, 20, 7, 38, 19, 1, 3, 42, 18, 4, 11, 46, 17, 48, 49, 10, 16, 25, 28, 24, 9, 23, 32, 33, 22, 14, 8, 21, 38, 39, 13, 41, 7, 43, 1, 3, 6, 47, 4, 49, 11, 51, 17, 27, 26, 10, 16, 31, 24, 33, 34, 9, 36, 37, 22, 39, 14, 8, 42, 43, 44, 13, 46, 7, 1, 3, 12, 6, 4, 18, 54, 11, 27, 17, 26, 32, 25, 10, 16, 24, 37, 38, 23, 9, 41, 22, 43, 44, 14, 8, 47, 48, 49, 13, 51, 1, 3, 19, 12, 4, 5, 18, 31, 27, 11, 26, 17, 36, 25, 38, 10, 16, 41, 42, 23, 44, 9, 46, 22, 48, 49, 14, 8, 52, 53, 54, 13, 1, 3, 58, 19, 4, 6, 5, 34, 18, 36, 37, 11, 39, 17, 25, 42, 43, 10, 16, 46, 47, 23, 49, 9, 51, 22, 53, 54, 14, 8, 57, 58, 59, 1, 3, 7, 33, 29, 4, 6, 5, 38, 27, 18, 41, 26, 11, 44, 17, 46, 47, 48, 10, 16, 51, 52, 23, 54, 9, 56, 22, 58, 59, 60, 8, 62, 32, 1, 3, 20, 7, 29, 38, 4, 6, 5, 12, 27, 44, 18, 26, 47, 11, 49, 17, 51, 52, 53, 10, 16, 56, 57, 23, 59, 9, 15, 22, 63, 64, 33, 32, 8, 31, 1, 3, 39, 7, 13, 42, 4, 6, 5, 46, 12, 48, 49, 18, 26, 52, 11, 54, 17, 56, 57, 58, 10, 60, 16, 62, 23, 64, 65, 9, 15, 22, 36, 32, 38, 31, 8, 1, 3, 43, 44, 7, 13, 4, 6, 5, 19, 51, 12, 53, 54, 18, 26, 57, 11, 59, 25, 17, 62, 63, 24, 10, 66, 16, 68, 23, 34, 37, 9, 15, 22, 41, 42, 31, 44, 1, 3, 47, 48, 29, 7, 4, 6, 5, 54, 19, 56, 12, 58, 59, 60, 18, 62, 63, 11, 25, 66, 17, 68, 69, 24, 10, 35, 16, 34, 23, 33, 42, 9, 15, 22, 46, 31, 48, 1, 3, 51, 52, 53, 29, 4, 13, 5, 28, 59, 60, 19, 27, 12, 64, 65, 26, 18, 68, 69, 11, 25, 72, 17, 36, 39, 24, 10, 34, 16, 44, 23, 46, 47, 9, 15, 22, 31, 52, 1, 3, 8, 56, 57, 58, 4, 7, 5, 6, 28, 64, 65, 66, 19, 68, 12, 70, 71, 26, 18, 74, 38, 11, 25, 36, 17, 35, 44, 24, 10, 47, 16, 33, 23, 51, 32, 9, 15, 22, 31, 1, 3, 59, 8, 14, 62, 4, 29, 7, 5, 6, 13, 69, 70, 71, 72, 19, 74, 12, 76, 39, 26, 18, 37, 43, 11, 25, 46, 17, 48, 49, 24, 10, 52, 16, 54, 23, 56, 32, 9, 59, 15, 1, 3, 63, 64, 8, 66, 4, 68, 29, 7, 5, 6, 20, 13, 75, 76, 77, 78, 19, 39, 12, 38, 44, 26, 18, 47, 36, 11, 25, 35, 17, 53, 34, 24, 10, 57, 33, 16, 60, 23, 32, 9, 64, 1, 3, 22, 68, 69, 8, 4, 72, 14, 74, 7, 5, 6, 78, 20, 13, 41, 40, 43, 39, 19, 38, 12, 48, 37, 26, 18, 36, 53, 11, 25, 56, 57, 17, 34, 60, 10, 62, 33, 64, 16, 66, 23, 68, 1, 3, 31, 15, 22, 74, 8, 4, 77, 78, 14, 7, 5, 6, 42, 41, 20, 13, 46, 39, 48, 49, 19, 51, 12, 37, 54, 26, 36, 18, 58, 11, 35, 25, 62, 63, 17, 65, 66, 10, 33, 69, 70, 16, 32, 23, 1, 3, 76, 31, 15, 22, 80, 4, 30, 83, 84, 7, 5, 6, 41, 47, 40, 20, 13, 39, 52, 53, 38, 27, 19, 12, 58, 59, 60, 26, 62, 18, 64, 11, 66, 25, 68, 34, 17, 71, 72, 10, 74, 75, 76, 16, 32, 1, 3, 9, 82, 31, 15, 22, 4, 8, 30, 46, 7, 5, 6, 29, 51, 40, 53, 54, ...

The histogram is irregular and not very interesting.

[Jean-Marc Falcoz]:

Voici 10000 termes de cette suite hofstadterisée.

L’histogramme est curieux, son enveloppe est manifestement de type racine carrée de x (en pointillé rouge : Sqrt(8x). Je ne sais pas pourquoi on a ce phénomène, ni pourquoi on a ces sinuosités à la base du graphe... D’ailleurs, leurs bases tendent à s’espacer !

On peut également discerner, à mi-hauteur du graphe, une zone au-dessous de laquelle les "filaments" sont incurvés, et au-dessus de laquelle, ils tendent à être verticaux.

SHH = {1, 2, 1, 3, 4, 3, 1, 5, 6, 4, 3, 1, 7, 8, 5, 4, 7, 1, 9, 10, 6, 5, 8, 4, 10, 1, 12, 7, 6, 9, 5, 11, 4, 13, 1, 8, 7, 10, 6, 12, 5, 14, 15, 4, 1, 8, 11, 7, 13, 6, 15, 16, 5, 18, 10, 1, 3, 8, 14, 7, 16, 17, 6, 19, 20, 5, 10, 13, 1, 3, 8, 17, 18, 7, 20, 21, 6, 12, 11, 5, 10, 16, 1, 3, 19, 8, 21, 22, 7, 24, 13, 6, 15, 11, 17, 5, 19, 1, 3, 22, 23, 8, 25, 26, 7, 13, 16, 12, 6, 11, 20, 21, 5, 1, 3, 9, 26, 27, 8, 15, 14, 17, 7, 19, 12, 21, 6, 11, 24, 25, 1, 3, 4, 9, 30, 16, 15, 8, 14, 20, 13, 7, 23, 12, 25, 6, 11, 28, 29, 1, 3, 4, 17, 9, 19, 15, 21, 8, 23, 24, 13, 7, 27, 12, 29, 6, 11, 32, 33, 1, 3, 4, 20, 16, 9, 15, 24, 25, 8, 27, 28, 13, 7, 31, 12, 33, 34, 6, 11, 19, 1, 3, 4, 23, 16, 25, 9, 15, 28, 29, 8, 31, 32, 13, 34, 7, 36, 12, 38, 20, 6, 11, 1, 3, 4, 10, 27, 16, 29, 9, 15, 32, 33, 14, 8, 36, 37, 13, 39, 7, 21, 12, 23, 19, 6, 1, 3, 4, 17, 10, 31, 16, 33, 34, 9, 36, 37, 38, 14, 8, 41, 42, 13, 21, 7, 20, 12, 19, 28, 1, 3, 31, 4, 17, 34, 10, 16, 37, 38, 39, 9, 41, 42, 43, 14, 8, 22, 25, 13, 27, 7, 29, 12, 19, 1, 3, 18, 11, 4, 17, 38, 39, 10, 16, 42, 43, 44, 9, 46, 24, 23, 14, 8, 28, 21, 13, 31, 7, 33, 34, 12, 1, 3, 18, 39, 4, 41, 17, 43, 44, 10, 16, 47, 48, 25, 9, 27, 23, 29, 14, 8, 32, 21, 34, 13, 20, 7, 38, 19, 1, 3, 42, 18, 4, 11, 46, 17, 48, 49, 10, 16, 25, 28, 24, 9, 23, 32, 33, 22, 14, 8, 21, 38, 39, 13, 41, 7, 43, 1, 3, 6, 47, 4, 49, 11, 51, 17, 27, 26, 10, 16, 31, 24, 33, 34, 9, 36, 37, 22, 39, 14, 8, 42, 43, 44, 13, 46, 7, 1, 3, 12, 6, 4, 18, 54, 11, 27, 17, 26, 32, 25, 10, 16, 24, 37, 38, 23, 9, 41, 22, 43, 44, 14, 8, 47, 48, 49, 13, 51, 1, 3, 19, 12, 4, 5, 18, 31, 27, 11, 26, 17, 36, 25, 38, 10, 16, 41, 42, 23, 44, 9, 46, 22, 48, 49, 14, 8, 52, 53, 54, 13, 1, 3, 58, 19, 4, 6, 5, 34, 18, 36, 37, 11, 39, 17, 25, 42, 43, 10, 16, 46, 47, 23, 49, 9, 51, 22, 53, 54, 14, 8, 57, 58, 59, 1, 3, 7, 33, 29, 4, 6, 5, 38, 27, 18, 41, 26, 11, 44, 17, 46, 47, 48, 10, 16, 51, 52, 23, 54, 9, 56, 22, 58, 59, 60, 8, 62, 32, 1, 3, 20, 7, 29, 38, 4, 6, 5, 12, 27, 44, 18, 26, 47, 11, 49, 17, 51, 52, 53, 10, 16, 56, 57, 23, 59, 9, 15, 22, 63, 64, 33, 32, 8, 31, 1, 3, 39, 7, 13, 42, 4, 6, 5, 46, 12, 48, 49, 18, 26, 52, 11, 54, 17, 56, 57, 58, 10, 60, 16, 62, 23, 64, 65, 9, 15, 22, 36, 32, 38, 31, 8, 1, 3, 43, 44, 7, 13, 4, 6, 5, 19, 51, 12, 53, 54, 18, 26, 57, 11, 59, 25, 17, 62, 63, 24, 10, 66, 16, 68, 23, 34, 37, 9, 15, 22, 41, 42, 31, 44, 1, 3, 47, 48, 29, 7, 4, 6, 5, 54, 19, 56, 12, 58, 59, 60, 18, 62, 63, 11, 25, 66, 17, 68, 69, 24, 10, 35, 16, 34, 23, 33, 42, 9, 15, 22, 46, 31, 48, 1, 3, 51, 52, 53, 29, 4, 13, 5, 28, 59, 60, 19, 27, 12, 64, 65, 26, 18, 68, 69, 11, 25, 72, 17, 36, 39, 24, 10, 34, 16, 44, 23, 46, 47, 9, 15, 22, 31, 52, 1, 3, 8, 56, 57, 58, 4, 7, 5, 6, 28, 64, 65, 66, 19, 68, 12, 70, 71, 26, 18, 74, 38, 11, 25, 36, 17, 35, 44, 24, 10, 47, 16, 33, 23, 51, 32, 9, 15, 22, 31, 1, 3, 59, 8, 14, 62, 4, 29, 7, 5, 6, 13, 69, 70, 71, 72, 19, 74, 12, 76, 39, 26, 18, 37, 43, 11, 25, 46, 17, 48, 49, 24, 10, 52, 16, 54, 23, 56, 32, 9, 59, 15, 1, 3, 63, 64, 8, 66, 4, 68, 29, 7, 5, 6, 20, 13, 75, 76, 77, 78, 19, 39, 12, 38, 44, 26, 18, 47, 36, 11, 25, 35, 17, 53, 34, 24, 10, 57, 33, 16, 60, 23, 32, 9, 64, 1, 3, 22, 68, 69, 8, 4, 72, 14, 74, 7, 5, 6, 78, 20, 13, 41, 40, 43, 39, 19, 38, 12, 48, 37, 26, 18, 36, 53, 11, 25, 56, 57, 17, 34, 60, 10, 62, 33, 64, 16, 66, 23, 68, 1, 3, 31, 15, 22, 74, 8, 4, 77, 78, 14, 7, 5, 6, 42, 41, 20, 13, 46, 39, 48, 49, 19, 51, 12, 37, 54, 26, 36, 18, 58, 11, 35, 25, 62, 63, 17, 65, 66, 10, 33, 69, 70, 16, 32, 23, 1, 3, 76, 31, 15, 22, 80, 4, 30, 83, 84, 7, 5, 6, 41, 47, 40, 20, 13, 39, 52, 53, 38, 27, 19, 12, 58, 59, 60, 26, 62, 18, 64, 11, 66, 25, 68, 34, 17, 71, 72, 10, 74, 75, 76, 16, 32, 1, 3, 9, 82, 31, 15, 22, 4, 8, 30, 46, 7, 5, 6, 29, 51, 40, 53, 54, 13, 56, 57, 38, 59, 60, 27, 19, 12, 64, 65, 36, 26, 68, 18, 35, 11, 72, 25, 34, 75, 17, 77, 78, 10, 80, 81, 82, 16, 1, 3, 86, 9, 88, 31, 15, 4, 43, 8, 30, 51, 5, 6, 21, 29, 40, 57, 58, 39, 60, 13, 62, 38, 64, 65, 66, 27, 19, 12, 70, 36, 72, 26, 74, 18, 76, 11, 78, 25, 34, 81, 17, 83, 84, 10, 86, 87, 88, 1, 3, 23, 45, 9, 44, 31, 4, 52, 22, 8, 30, 5, 6, 58, 14, 21, 29, 62, 63, 39, 65, 66, 13, 38, 69, 70, 71, 37, 27, 19, 12, 36, 77, 78, 26, 80, 18, 82, 11, 84, 25, 34, 87, 17, 89, 90, 10, 92, 47, 1, 3, 32, 51, 23, 9, 54, 4, 56, 15, 42, 8, 5, 30, 6, 63, 64, 14, 21, 29, 68, 39, 70, 71, 72, 13, 74, 75, 76, 37, 78, 27, 19, 12, 36, 83, 84, 26, 86, 18, 88, 11, 90, 25, 34, 93, 17, 48, 47, 10, 24, 1, 3, 54, 16, 44, 57, 9, 4, 60, 31, 42, 15, 5, 22, 41, 6, 68, 69, 40, 14, 21, 29, 39, 75, 76, 77, 38, 13, 80, 81, 82, 37, 84, 27, 19, 12, 36, 89, 90, 26, 92, 18, 94, 11, 96, 49, 25, 51, 47, 17, 46, 10, 1, 3, 58, 59, 44, 16, 62, 4, 23, 65, 66, 31, 5, 8, 70, 22, 6, 30, 74, 40, 76, 14, 21, 29, 80, 81, 82, 83, 38, 13, 86, 87, 88, 37, 90, 27, 19, 12, 36, 95, 96, 97, 26, 35, 18, 11, 48, 54, 34, 25, 57, 46, 17, 1, 3, 62, 24, 44, 65, 66, 4, 9, 69, 23, 71, 42, 5, 8, 15, 41, 6, 78, 30, 40, 81, 82, 14, 21, 29, 86, 87, 88, 89, 38, 13, 92, 93, 94, 37, 96, 97, 27, 12, 36, 51, 50, 53, 49, 26, 48, 11, 58, 47, 60, 34, 25, 63, 1, 3, 10, 33, 68, 24, 70, 4, 72, 9, 74, 75, 23, 42, 5, 8, 80, 15, 6, 22, 84, 30, 40, 87, 88, 14, 21, 29, 92, 93, 94, 95, 38, 13, 20, 99, 100, 37, 102, 52, 51, 12, 19, 56, 49, 58, 59, 48, 26, 62, 11, 64, 65, 46, 34, 1, 3, 45, 17, 10, 33, 44, 4, 76, 77, 43, 9, 80, 81, 23, 5, 8, 31, 86, 6, 88, 22, 90, 30, 40, 93, 94, 14, 96, 21, 29, 99, 100, 101, 38, 13, 104, 20, 52, 37, 51, 57, 50, 59, 12, 19, 62, 63, 48, 65, 66, 26, 68, 11, 70, 46, 72, 1, 25, 45, 76, 17, 10, 33, 4, 24, 82, 43, 84, 9, 86, 87, 5, 8, 90, 31, 6, 15, 94, 95, 22, 97, 30, 99, 100, 14, 102, 39, 21, 29, 106, 54, 38, 56, 13, 58, 20, 60, 37, 50, 63, 64, 49, 12, 19, 48, 69, 70, 71, 47, 26, 74, 11, 46, 77, 1, 34, 25, 81, 82, 17, 10, 4, 86, 24, 88, 43, 90, 9, 92, 5, 42, 8, 96, 6, 31, 15, 100, 101, 102, 22, 40, 30, 106, 107, 14, 39, 54, 21, 29, 59, 52, 38, 62, 13, 64, 20, 50, 37, 68, 49, 70, 71, 12, 19, 74, 75, 76, 47, 78, 26, 80, 11, 82, 1, 84, 34, 25, 87, 88, 17, 4, 33, 92, 93, 24, 43, 96, 9, 5, 99, 42, 8, 6, 103, 104, 31, 15, 107, 108, 109, 22, 56, 30, 58, 54, 14, 39, 62, 21, 29, 65, 66, 38, 68, 13, 50, 20, 72, 37, 49, 75, 76, 77, 12, 19, 80, 81, 47, 83, 84, 26, 46, 11, 1, 89, 90, 34, 92, 25, 94, 4, 10, 97, 33, 99, 100, 24, 102, 5, 16, 32, 42, 6, 7, 23, 110, 41, 31, 15, 56, 59, 55, 22, 54, 30, 64, 53, 14, 39, 52, 21, 29, 51, 72, 38, 74, 13, 76, 20, 78, 37, 80, 81, 82, 48, 12, 19, 86, 47, 88, 89, 90, 35, 26, 1, 94, 95, 96, 45, 34, 99, 4, 101, 10, 103, 104, 33, 106, 43, 5, 9, 110, 16, 6, 8, 7, 58, 23, 60, 41, 31, 15, 64, 65, 54, 22, 68, 30, 70, 71, 14, 39, 74, 21, 29, 77, 78, 38, 50, 13, 82, 20, 49, 37, 86, 87, 48, 89, 12, 19, 92, 47, 94, 95, 96, 97, 1, 11, 18, 101, 102, 45, 104, 4, 106, 25, 10, 17, 110, 111, 33, 5, 114, 9, 116, 6, 16, 8, 7, 63, 56, 23, 66, 41, 31, 15, 54, 71, 72, 22, 74, 30, 76, 52, 14, 39, 80, 21, 29, 83, 84, 38, 86, 13, 88, 20, 28, 37, 92, 93, 48, 95, 12, 97, 19, 47, 100, 101, 102, 1, 46, 11, 26, 18, 108, 45, 4, 111, 34, 113, 10, 115, 17, 117, 5, 33, 43, 9, 24, 6, 57, 8, 7, 56, 69, 70, 23, 72, 41, 31, 15, 76, 77, 53, 22, 80, 30, 52, 83, 14, 39, 51, 21, 88, 29, 50, 38, 92, 13, 94, 49, 20, 28, 37, 99, 48, 101, 12, 103, 104, 19, 106, 107, 1, 109, 46, 11, 35, 26, 18, 4, 116, 117, 118, 34, 10, 25, 60, 5, 59, 65, 33, 9, 68, 6, 70, 8, 7, 32, 74, 55, 76, 23, 78, 41, 31, 15, 82, 53, 84, 22, 86, 52, 30, 89, 14, 39, 92, 93, 21, 95, 29, 97, 38, 13, 100, 49, 102, 20, 28, 37, 48, 107, 12, 109, 110, 47, 19, 1, 114, 115, 46, 117, 11, 35, 4, 18, 45, 62, 61, 64, 10, 66, 5, 68, 17, 58, 71, 9, 43, 6, 24, 8, 7, 16, 32, 55, 81, 82, 23, 54, 41, 86, 15, 53, 89, 90, 40, 22, 93, 94, 30, 14, 51, 39, 99, 100, 21, 50, 29, 104, 13, 106, 49, 108, 109, 20, 28, 37, 113, 114, 12, 116, 47, 1, 19, 120, 121, 122, 46, 124, 4, 35, 26, 18, 45, 60, 69, 70, 10, 5, 25, 58, 17, 76, 9, 33, 6, 80, 8, 7, 83, 16, 42, 32, 87, 88, 54, 23, 41, 92, 15, 31, 95, 96, 97, 40, 22, 100, 101, 14, 51, 104, 39, 106, 107, 21, 109, 29, 111, 13, 49, 114, 115, 116, 20, 28, 37, 120, 121, 12, 1, 47, 125, 19, 64, 63, 66, 4, 68, 11, 35, 26, 18, 45, 74, 59, 76, 5, 58, 25, 80, 17, 9, 83, 6, 33, 8, 7, 24, 89, 16, 42, 92, 32, 54, 95, 96, 23, 41, 15, 100, 31, 102, 103, 52, 40, 22, 107, 108, 14, 110, 111, 39, 113, 50, 21, 116, 29, 118, 13, 120, 121, 122, 123, 20, 28, 37, 127, 1, 12, 64, 47, 63, 19, 62, 4, 72, 46, 74, 11, 35, 26, 18, 45, 80, 81, 5, 10, 34, 44, 25, 17, 9, 6, 90, 8, 7, 93, 94, 24, 16, 97, 42, 99, 32, 101, 102, 103, 23, 41, 15, 107, 31, 109, 52, 111, 40, 22, 114, 51, 14, 117, 118, 39, 50, 121, 21, 123, 29, 125, 13, 127, 128, 129, 130, 20, 28, 3, 1, 70, 12, 72, 47, 62, 19, 4, 61, 78, 46, 60, 11, 82, 35, 18, 45, 86, 5, 58, 10, 90, 34, 57, 17, 6, 95, 8, 7, 43, 33, 100, 55, 24, 16, 104, 42, 54, 32, 108, 109, 110, 23, 41, 15, 114, 31, 52, 117, 118, 40, 22, 51, 122, 14, 124, 125, 39, 50, 128, 21, 130, 29, 132, 13, 66, 69, 65, 71, 20, 3, 1, 63, 76, 12, 62, 47, 80, 4, 27, 83, 84, 46, 86, 11, 88, 59, 18, 26, 5, 58, 94, 10, 96, 57, 34, 6, 9, 101, 7, 103, 104, 43, 33, 55, 108, 24, 16, 111, 42, 113, 32, 115, 116, 53, 23, 41, 15, 121, 31, 123, 124, 125, 40, 22, 51, 129, 14, 131, 132, 39, 50, 68, 21, 70, 29, 72, 13, 74, 75, 64, 77, 3, 1, 28, 37, 62, 12, 84, 47, 4, 19, 88, 27, 60, 46, 92, 11, 59, 95, 96, 5, 26, 99, 100, 10, 102, 57, 6, 34, 9, 7, 8, 109, 110, 111, 43, 33, 114, 115, 24, 16, 54, 42, 120, 32, 122, 53, 124, 23, 41, 15, 128, 31, 130, 131, 132, 40, 22, 51, 136, 14, 68, 71, 39, 50, 66, 21, 76, 65, 29, 13, 38, 81, 82, 3, 1, 48, 86, 28, 37, 12, 90, 4, 92, 93, 19, 60, 27, 97, 46, 11, 100, 101, 5, 103, 18, 26, 106, 10, 108, 6, 110, 111, 7, 113, 8, 115, 116, 117, 118, 43, 33, 121, 122, 24, 16, 125, 42, 127, 32, 129, 53, 131, 23, 41, 15, 135, 31, 137, 138, 70, 40, 22, 51, 74, 14, 30, 77, 66, 39, 80, 21, 82, 83, 64, 13, 86, 38, 3, 1, 90, 20, 62, 93, 28, 12, 4, 97, 47, 99, 60, 19, 102, 27, 104, 11, 106, 5, 108, 109, 58, 18, 26, 10, 6, 57, 116, 117, 7, 34, 8, 17, 122, 123, 124, 55, 43, 33, 128, 129, 24, 16, 132, 42, 134, 32, 136, 53, 138, 23, 41, 15, 70, 52, 31, 75, 68, 77, 22, 51, 80, 14, 66, 30, 84, 50, 39, 87, 21, 64, 90, 13, 29, 3, 1, 95, 96, 62, 20, 99, 100, 4, 37, 103, 104, 47, 60, 107, 19, 109, 27, 11, 5, 113, 114, 115, 58, 117, 18, 6, 120, 57, 122, 123, 7, 125, 8, 127, 17, 129, 130, 131, 55, 43, 33, 135, 136, 24, 16, 139, 42, 141, 142, 32, 53, 74, 23, 76, 15, 78, 52, 68, 31, 82, 67, 84, 22, 66, 14, 88, 89, 30, 50, 92, 39, 64, 21, 96, 13, 3, 1, 100, 38, 62, 103, 104, 20, 4, 12, 28, 37, 110, 111, 47, 113, 114, 19, 116, 5, 118, 46, 120, 121, 58, 123, 6, 10, 26, 57, 128, 129, 7, 131, 8, 34, 134, 17, 136, 137, 138, 55, 43, 141, 33, 143, 24, 16, 72, 75, 42, 77, 70, 32, 80, 69, 23, 15, 41, 52, 86, 67, 31, 89, 90, 51, 22, 14, 94, 65, 96, 30, 50, 64, 39, 101, 21, 3, 1, 49, 29, 107, 38, 109, 110, 4, 20, 61, 12, 28, 37, 117, 60, 47, 120, 121, 5, 11, 27, 125, 46, 127, 58, 129, 6, 10, 18, 26, 57, 135, 7, 137, 8, 139, 44, 34, 17, 143, 144, 145, 55, 74, 43, 76, 33, 78, 16, 80, 81, 70, 42, 84, 53, 32, 87, 68, 15, 90, 41, 67, 93, 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20, 11, 170, 171, 8, 9, 174, 48, 176, 177, 28, 179, 19, 181, 37, 183, 47, 185, 186, 94, 58, 27, 92, 71, 18, 46, 101, 90, 57, 104, 70, 106, 26, 88, 35, 45, 17, 69, 113, 114, 115, 86, 117, 25, 68, 34, 121, 122, 16, 3, 125, 67, 1, 128, 24, 43, 33, 132, 66, 4, 15, 136, 137, 53, 81, 23, 141, 32, 143, 80, 145, 146, 14, 64, 79, 5, 151, 22, 31, 154, 78, 51, 157, 158, 13, 40, 77, 162, 163, 6, 50, 166, 76, 168, 12, 39, 171, 61, 7, 49, 29, 11, 177, 8, 74, 9, 181, 182, 48, 184, 73, 28, 187, 19, 95, 37, 97, 47, 99, 92, 101, 58, 27, 104, 71, 18, 107, 46, 89, 57, 111, 70, 88, 26, 115, 116, 35, 17, 56, 120, 86, 122, 123, 124, 25, 68, 127, 34, 129, 3, 131, 132, 1, 134, 83, 24, 54, 43, 33, 4, 141, 15, 143, 144, 81, 53, 147, 23, 149, 32, 151, 152, 153, 14, 52, 5, 157, 41, 159, 22, 31, 78, 163, 51, 165, 13, 167, 40, 169, 6, 171, 21, 50, 76, 175, 12, 177, 39, 7, 61, 181, 49, 11, 8, 185, 74, 9, 38, 189, 190, 48, 95, 73, 28, 100, 19, 102, 37, 92, 72, 47, 91, 108, 58, 27, 111, 71, 18, 36, 115, 46, 117, 57, 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51, 179, 106, 181, 5, 19, 184, 75, 89, 187, 62, 189, 39, 50, 192, 193, 194, 125, 28, 197, 18, 199, 61, 124, 202, 203, 6, 205, 87, 73, 208, 209, 210, 27, 60, 17, 214, 215, 86, 48, 37, 121, 220, 221, 101, 223, 59, 7, 26, 227, 16, 71, 47, 100, 36, 233, 234, 235, 58, 237, 118, 239, 99, 8, 242, 46, 244, 117, 35, 247, 248, 57, 250, 14, 9, 69, 254, 255, 24, 82, 10, 115, 11, 12, 56, 263, 264, 68, 114, 96, 81, 44, 270}

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Many thanks again, Lars and Jean-Marc!

Please have a look here also, on the same subject.

Best,

É.