A137838 - OEIS

%I #3 Mar 31 2012 14:39:55

%S 1,3,4,5,7,8,10,11,2,13,4,5,16,7,8,19,21,2,23,4,5,6,7,8,29,0

%N Limiting sequence when we start with the positive integers (A000027) and delete in step n >= 1 the first digit in the term at position n + a(n).

%e First few steps are:

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

%e n = 1; delete the first digit in the term at position 1+a(1) = 2: 2;

%e 1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,...

%e n = 2; delete the first digit in the term at position 2+a(2) = 5: 6;

%e 1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,...

%e n = 3; delete the first digit in the term at position 3+a(3) = 7: 9;

%e 1,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,20,...

%e n = 4; delete the first digit in the term at position 4+a(4) = 9: 1;

%e 1,3,4,5,7,8,10,11,2,13,14,15,16,17,18,19,20,...

%e n = 5; delete the first digit in the term at position 5+a(5) = 12: 1;

%e 1,3,4,5,7,8,10,11,2,13,14,5,16,17,18,19,20,...

%e n = 6; delete the first digit in the term at position 6+a(6) = 14: 1;

%e 1,3,4,5,7,8,10,11,2,13,14,5,16,7,18,19,20,...

%Y Cf. A137292, A136120, A136119, A136259, A136272, A137319, A137417, A137418.

%K easy,nonn,base

%O 1,2

%A _Ctibor O. Zizka_, Apr 29 2008