A119902 Start with 100016 and repeatedly reverse the digits and add 5 to get the next term.

100016, 610006, 600021, 120011, 110026, 620016, 610031, 130021, 120036, 630026, 620041, 140031, 130046, 640036, 630051, 150041, 140056, 650046, 640061, 160051, 150066, 660056, 650071, 170061, 160076, 670066, 660081, 180071, 170086, 680076

Offset: 1

Author

Klaus Brockhaus, May 28 2006

Keywords

• nonn
• base

Comments

Let T(S,Q) be the sequence obtained by starting with S and repeatedly reversing the digits and adding Q to get the next term. This is T(10016,5). 100016 is the first S for which T(S,5) reaches a cycle of length 756. The cycle is simply the first 756 terms, which then repeat. A full period is given in the table.

Links

• Klaus Brockhaus, Table of n, a(n) for n = 1,...,756
• N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Crossrefs

Cf. A117800, A118879, A118878.

Programs

Mathematica

NestList[FromDigits[Reverse[IntegerDigits[#]]]+5&,100016,40]  (* Harvey P. Dale, Feb 24 2011 *)