Digit echo forbidden
1) If the n-th digit of S is “d” (d chosen from 0,1,2,3,...9)
then the (n+d+1)th digit of S
cannot be “d”.
2) Start S with a(1)=1
3) Always extend S with the smallest available integer not yet present in S and not leading to a contradiction.
no “d” -->
2
no “d” --> 0 2
1 2 1 1 1 2 1
5 2
no “d” --> 1
2 3 4 5
16 07 18 9 2 03 3
22 1 4 13 2 15 42 1
62 6 7 1 2 87
1 39
S =
1,2,3,4,5,6,7,8,9,10,20,11,22,13,30,12,21,14,23,15,24,16,26,17,25,18,27,19,28,29,31,32,40,...
S is obviously finite (the term 9876543210 blocks any extension, for
example); what is the last term of S?
Best,
É.