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A029737 Numbers whose square is palindromic in base 12. 11

%I #18 Oct 16 2021 12:22:04

%S 0,1,2,3,13,26,145,157,169,179,181,290,292,302,611,1729,1745,1783,

%T 1885,2041,3458,3614,3796,20737,20881,21025,21169,22477,22621,22765,

%U 24073,24217,24361,24599,25523,25579,28613,41474,41618,41908,43214

%N Numbers whose square is palindromic in base 12.

%H Seiichi Manyama, <a href="/A029737/b029737.txt">Table of n, a(n) for n = 1..100</a>

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/nobase10.htm">Palindromic numbers beyond base 10</a>

%t pal12Q[n_]:=Module[{idn12=IntegerDigits[n^2,12]},idn12==Reverse[idn12]]

%t Select[Range[0,50000],pal12Q] (* _Harvey P. Dale_, Feb 06 2011 *)

%Y Numbers k such that k^2 is palindromic in base b: A003166 (b=2), A029984 (b=3), A029986 (b=4), A029988 (b=5), A029990 (b=6), A029992 (b=7), A029805 (b=8), A029994 (b=9), A002778 (b=10), A029996 (b=11), this sequence (b=12), A029998 (b=13), A030072 (b=14), A030073 (b=15), A029733 (b=16), A118651 (b=17).

%K base,nonn

%O 1,3

%A _Patrick De Geest_

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Last modified May 9 09:10 EDT 2024. Contains 372347 sequences. (Running on oeis4.)