A120215 Start with 1057 and repeatedly reverse the digits and add 2 to get the next term.

1057, 7503, 3059, 9505, 5061, 1607, 7063, 3609, 9065, 5611, 1167, 7613, 3169, 9615, 5171, 1717, 7173, 3719, 9175, 5721, 1277, 7723, 3279, 9725, 5281, 1827, 7283, 3829, 9285, 5831, 1387, 7833, 3389, 9835, 5391, 1937, 7393, 3939, 9395, 5941, 1497, 7943, 3499, 9945, 5501

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(1057,2). 1057 is the first S for which T(S,2) reaches a cycle of length 45. The cycle is simply the first 45 terms, which then repeat. A full period is shown.

Links

Table of n, a(n) for n=1..45.

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, 1).

Formula

a(n) = a(n-45). - Boštjan Gec, Sep 21 2023

Mathematica

NestList[IntegerReverse[#]+2&, 1057, 50] (* Harvey P. Dale, Jan 25 2021 *)

Crossrefs

Cf. A117521, A118514, A120214, A120216, A120217, A120218.

Sequence in context: A168627 A223294 A035858 * A351770 A202611 A253678

Adjacent sequences: A120212 A120213 A120214 * A120216 A120217 A120218

Keyword

nonn,base

Author

Klaus Brockhaus, Jun 11 2006

Status

approved