A065216 Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.

167, 266, 365, 563, 662, 761, 860, 7069, 7159, 7249, 7339, 7429, 7519, 7609, 7699, 7789, 7879, 7969, 8068, 8158, 8248, 8428, 8518, 8608, 8698, 8788, 8878, 8968, 9039, 9067, 9129, 9157, 9219, 9247, 9309, 9337, 9399, 9427, 9489, 9517, 9579, 9607, 9697

Offset: 1

Author

Klaus Brockhaus, Oct 21 2001

Keywords

• nonn
• base

Comments

The number of steps starts at 0, so palindromes (cf. A002113) are excluded.

Numbers k such that A033665(k) = 11. - Andrew Howroyd, Dec 08 2024

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Index entries for sequences related to Reverse and Add!

Crossrefs

A002113, A015992, A033665, A065206.

Programs

Mathematica

lenQ[n_]:= Length[NestWhileList[# + FromDigits[Reverse[IntegerDigits[#]]]&, n, #!= FromDigits[Reverse[IntegerDigits[#]]]&, 1, 12]] == 12; Select[Range[1000], lenQ] (* Vincenzo Librandi, Sep 24 2013 *)

Extensions

Offset changed from 0 to 1 by Harry J. Smith, Oct 14 2009