login
A117800
Start with 1 and repeatedly reverse the digits and add 5 to get the next term.
9
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.
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
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, following discussions with Luc Stevens, May 04 2006
STATUS
approved