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

1,1

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.

Mathematica

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

Crossrefs

Cf. A117800, A118879, A118878.

Sequence in context: A237233 A182040 A120216 * A182092 A249855 A120217

Adjacent sequences: A119899 A119900 A119901 * A119903 A119904 A119905

Keyword

nonn,base

Author

Klaus Brockhaus, May 28 2006

Status

approved