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%I #20 Feb 10 2025 20:03:23
%S 0,1,2,3,15,24,30,47,165,197,211,225,239,394,408,422,2190,2445,2745,
%T 2955,3165,5490,5700,8565,38417,38613,38809,39005,41175,41371,41567,
%U 41763,43737,43933,44129,48159,55962,76834,77030,77226,79592,79788
%N Numbers k such that k^2 is palindromic in base 14.
%H Seiichi Manyama, <a href="/A030072/b030072.txt">Table of n, a(n) for n = 1..100</a>
%H Patrick De Geest, <a href="https://www.worldofnumbers.com/nobase10pg2.htm">Palindromic Squares in bases 2 to 17</a>
%t pal14Q[n_]:=Module[{idn14=IntegerDigits[n^2,14]},idn14==Reverse[idn14]]; Select[Range[0,80000],pal14Q] (* _Harvey P. Dale_, Mar 09 2012 *)
%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), A029737 (b=12), A029998 (b=13), this sequence (b=14), A030073 (b=15), A029733 (b=16), A118651 (b=17).
%K base,nonn
%O 1,3
%A _Patrick De Geest_