A120214 Start with 1013 and repeatedly reverse the digits and add 2 to get the next term.

1013, 3103, 3015, 5105, 5017, 7107, 7019, 9109, 9021, 1211, 1123, 3213, 3125, 5215, 5127, 7217, 7129, 9219, 9131, 1321, 1233, 3323, 3235, 5325, 5237, 7327, 7239, 9329, 9241, 1431, 1343, 3433, 3345, 5435, 5347, 7437, 7349, 9439, 9351, 1541, 1453, 3543

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(1013,2). 1013 is the first S for which T(S,2) reaches a cycle of length 90. The cycle is simply the first 90 terms, which then repeat. A full period is given in the table.

Links

Klaus Brockhaus, Table of n, a(n) for n = 1,...,90

N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Mathematica

NestList[IntegerReverse[#]+2&, 1013, 50] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 16 2016 *)

Crossrefs

Cf. A117521, A118514, A120215, A120216, A120217, A120218.

Sequence in context: A252634 A250610 A126239 * A251267 A096928 A234754

Adjacent sequences: A120211 A120212 A120213 * A120215 A120216 A120217

Keyword

nonn,base

Author

Klaus Brockhaus, Jun 11 2006

Status

approved