A065215 Numbers which need ten 'Reverse and Add' steps to reach a palindrome.

829, 928, 9059, 9149, 9239, 9329, 9419, 9509, 9599, 9689, 9869, 9959, 10634, 10637, 10687, 10716, 10808, 10834, 10838, 10867, 10873, 10898, 10927, 10979, 11398, 11624, 11627, 11677, 11706, 11824, 11828, 11857, 11863, 11888, 11917, 11969, 12388, 12392, 12398, 12493

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) = 10. - 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

Cf. A002113, A015991 (a different version), A033665, A065206.

Programs

Mathematica

lenQ[n_]:= Length[NestWhileList[# + FromDigits[Reverse[IntegerDigits[#]]]&, n, #!= FromDigits[Reverse[IntegerDigits[#]]]&, 1, 11]] == 11; Select[Range[1000], lenQ] (* Vincenzo Librandi, Sep 24 2013 *)