A118512 Define sequence S_m by: initial term = m, reverse digits and add 1 to get next term. Entry shows S_11. This reaches a cycle of length 9 in 18 steps.

11, 12, 22, 23, 33, 34, 44, 45, 55, 56, 66, 67, 77, 78, 88, 89, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10

Offset: 1

Author

N. J. A. Sloane, May 06 2006

Keywords

• nonn
• base

Links

• N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

Cf. A118510, A117831, A117230.

Programs

Mathematica

NestList[FromDigits[Reverse[IntegerDigits[#]]]+1&,11,90] (* Harvey P. Dale, Oct 16 2011 *)
Join[{11,12,22,23,33,34,44,45,55,56,66,67,77,78,88,89,99,100},LinearRecurrence[{0,0,0,0,0,0,0,0,1},{2,3,4,5,6,7,8,9,10},72]] (* Ray Chandler, Jul 18 2015 *)
NestList[IntegerReverse[#]+1&,11,90] (* Harvey P. Dale, Oct 13 2024 *)