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

0,2

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.

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.

Mathematica

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

Crossrefs

Cf. A117828, A118878, A118879.

Sequence in context: A024952 A278833 A284293 * A118847 A111256 A315506

Adjacent sequences: A117797 A117798 A117799 * A117801 A117802 A117803

Keyword

nonn,base

Author

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

Status

approved