A137832 Limiting sequence when we start with the positive integers (A000027) and delete in step n >= 1 the last digit in the term at position n + a(n).
1, 3, 4, 5, 7, 8, 10, 11, 1, 1, 1, 16, 1, 1, 1, 21, 2, 23, 2, 25, 2, 27, 2, 29, 3, 31, 3, 3, 34, 3, 3, 37, 3, 3, 40, 4, 43, 44, 45, 47, 48, 49, 5, 51, 52, 53, 5, 5, 56, 57, 5, 5, 6, 61, 6, 6, 6, 65, 6, 67, 69, 7, 7, 72, 7, 7, 75, 76, 7, 7, 79, 8, 82, 83, 84, 8
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 last 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 last 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 last 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 last digit in the term at position 4+a(4) = 9: 2; 1,3,4,5,7,8,10,11,1,13,14,15,16,17,18,19,20,... n = 5; delete the last digit in the term at position 5+a(5) = 12: 5; 1,3,4,5,7,8,10,11,1,13,14,1,16,17,18,19,20,... n = 6; delete the last digit in the term at position 6+a(6) = 14: 8; 1,3,4,5,7,8,10,11,1,13,14,1,16,17,1,19,20,...
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..10000