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Start with 1 and repeatedly place the first digit at the end of the number and add 8.
0

%I #3 Nov 17 2014 18:46:48

%S 1,9,17,79,105,59,103,39,101,19,99,107,79,105,59,103,39,101,19,99,107,

%T 79,105,59,103,39,101,19,99,107,79,105,59,103,39,101,19,99,107,79,105,

%U 59,103,39,101,19,99,107,79,105,59,103,39,101,19,99,107,79,105,59,103

%N Start with 1 and repeatedly place the first digit at the end of the number and add 8.

%C After 3 steps the sequence enters a cycle of length 9.

%t NestList[FromDigits[RotateLeft[IntegerDigits[#]]]+8&,1,60] (* _Harvey P. Dale_, Nov 17 2014 *)

%K base,nonn

%O 1,2

%A Luc Stevens (lms022(AT)yahoo.com), May 24 2006