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Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.
4

%I #16 Dec 08 2024 14:15:31

%S 167,266,365,563,662,761,860,7069,7159,7249,7339,7429,7519,7609,7699,

%T 7789,7879,7969,8068,8158,8248,8428,8518,8608,8698,8788,8878,8968,

%U 9039,9067,9129,9157,9219,9247,9309,9337,9399,9427,9489,9517,9579,9607,9697

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

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

%C Numbers k such that A033665(k) = 11. - _Andrew Howroyd_, Dec 08 2024

%H Vincenzo Librandi, <a href="/A065216/b065216.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Res#RAA">Index entries for sequences related to Reverse and Add!</a>

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

%Y A002113, A015992, A033665, A065206.

%K nonn,base

%O 1,1

%A _Klaus Brockhaus_, Oct 21 2001

%E Offset changed from 0 to 1 by _Harry J. Smith_, Oct 14 2009