A015991 -id:A015991

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A065215

Numbers such that ten 'Reverse and Add' steps are needed to reach a palindrome.

+10
3

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

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

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for sequences related to Reverse and Add!

MATHEMATICA

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

CROSSREFS

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

KEYWORD

nonn,base

AUTHOR

Klaus Brockhaus, Oct 21 2001

STATUS

approved

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