A118536 Start with 1 and repeatedly reverse the digits and add 36 to get the next term.

1, 37, 109, 937, 775, 613, 352, 289, 1018, 8137, 7354, 4573, 3790, 1009, 9037, 7345, 5473, 3781, 1909, 9127, 7255, 5563, 3691, 1999, 10027, 72037, 73063, 36073, 37099, 99109, 90235, 53245, 54271, 17281, 18307, 70417, 71443, 34453, 35479, 97489, 98515, 51625

Offset: 1

Author

Luc Stevens (lms022(AT)yahoo.com), May 07 2006

Keywords

• nonn
• base

Comments

This is the first known example of a sequence from this family which reaches a cycle of length 2.

That cycle begins at a(407) and is (64, 82). - Harvey P. Dale, Apr 12 2013

Links

• T. D. Noe, Table of n, a(n) for n = 1..500
• N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
• Index entries for linear recurrences with constant coefficients, signature (0, 1).

Crossrefs

Cf. A117828, A117816, A117817.

Programs

Mathematica

NestList[FromDigits[Reverse[IntegerDigits[#]]]+36&,1,500] (* Harvey P. Dale, Apr 12 2013 *)

Formula

After 406 steps enters a cycle of length 2.

Extensions

Corrected by Harvey P. Dale, Apr 12 2013