A137838 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).
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
Offset: 1
Examples
First few steps are: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,... n = 1; delete the first digit in the term at position 1+a(1) = 2: 2; 1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,... n = 2; delete the first digit in the term at position 2+a(2) = 5: 6; 1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,... n = 3; delete the first digit in the term at position 3+a(3) = 7: 9; 1,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,20,... n = 4; delete the first digit in the term at position 4+a(4) = 9: 1; 1,3,4,5,7,8,10,11,2,13,14,15,16,17,18,19,20,... n = 5; delete the first digit in the term at position 5+a(5) = 12: 1; 1,3,4,5,7,8,10,11,2,13,14,5,16,17,18,19,20,... n = 6; delete the first digit in the term at position 6+a(6) = 14: 1; 1,3,4,5,7,8,10,11,2,13,14,5,16,7,18,19,20,...