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

%I #14 Jul 20 2015 10:47:05

%S 1,37,109,937,775,613,352,289,1018,8137,7354,4573,3790,1009,9037,7345,

%T 5473,3781,1909,9127,7255,5563,3691,1999,10027,72037,73063,36073,

%U 37099,99109,90235,53245,54271,17281,18307,70417,71443,34453,35479,97489,98515,51625

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

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

%C That cycle begins at a(407) and is (64, 82). - _Harvey P. Dale_, Apr 12 2013

%H T. D. Noe, <a href="/A118536/b118536.txt">Table of n, a(n) for n = 1..500</a>

%H N. J. A. Sloane and others, <a href="/wiki/Sequences_of_RADD_type">Sequences of RADD type</a>, OEIS wiki.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1).

%F After 406 steps enters a cycle of length 2.

%t NestList[FromDigits[Reverse[IntegerDigits[#]]]+36&,1,500] (* _Harvey P. Dale_, Apr 12 2013 *)

%Y Cf. A117828, A117816, A117817.

%K nonn,base

%O 1,2

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

%E Corrected by _Harvey P. Dale_, Apr 12 2013