A117800 Start with 1 and repeatedly reverse the digits and add 5 to get the next term.

1, 6, 11, 16, 66, 71, 22, 27, 77, 82, 33, 38, 88, 93, 44, 49, 99, 104, 406, 609, 911, 124, 426, 629, 931, 144, 446, 649, 951, 164, 466, 669, 971, 184, 486, 689, 991, 204, 407, 709, 912, 224, 427, 729, 932, 244, 447, 749, 952, 264, 467, 769, 972, 284, 487, 789, 992, 304, 408

Offset: 0

Author

N. J. A. Sloane, following discussions with Luc Stevens, May 04 2006

Keywords

• nonn
• base

Links

• N. J. A. Sloane, Table of n, a(n) for n = 0..414 (shows two full cycles)
• N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
• Index entries for linear recurrences with constant coefficients, order 207.

Crossrefs

Cf. A117828, A118878, A118879.

Programs

Mathematica

NestList[IntegerReverse[#] + 5 &, 1, 100] (* Paolo Xausa, Aug 27 2024 *)

Formula

After 1 step enters a cycle of length 207.

It appears that there is a unique cycle of length 207 for the reverse-and-add-5 problem. Klaus Brockhaus has done an extensive search without finding any further cycle of length 207. There are many cycles of lengths 36 and 756. See A118878.