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%I #12 Jul 22 2015 03:57:49
%S 0,1,2,3,4,6,109,246,282,564,701,22386,32152,41667,47653,48553,
%T 1142597,1313858,1412768,1677684,12607012902,19671459008,20134447808,
%U 24208576998,24863844904,26358878059
%N Palindromic numbers in bases 5 and 9 written in base 10.
%H Giovanni Resta, <a href="/A259388/b259388.txt">Table of n, a(n) for n = 1..40</a>
%H <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>
%F Intersection of A029952 and A029955.
%e 246 is in the sequence because 246_10 = 303_9 = 1441_5.
%t (* first load nthPalindromeBase from A002113 *) palQ[n_Integer, base_Integer] := Block[{}, Reverse[ idn = IntegerDigits[n, base]] == idn]; k = 0; lst = {}; While[k < 21000000, pp = nthPalindromeBase[k, 9]; If[palQ[pp, 5], AppendTo[lst, pp]; Print[pp]]; k++]; lst
%t b1=5; b2=9; lst={};Do[d1=IntegerDigits[n, b1]; d2=IntegerDigits[n, b2]; If[d1==Reverse[d1]&&d2==Reverse[d2], AppendTo[lst, n]], {n, 0, 10000000}]; lst (* _Vincenzo Librandi_, Jul 17 2015 *)
%Y Cf. A007632, A007633, A029731, A029804, A029961, A029962, A029963, A029964, A029965, A029966, A029967, A029968, A029969, A029970, A048268, A060792, A097855, A097856, A097928, A097929, A097930, A097931, A099145, A099146, A099165, A182232, A182233, A182234, A250408, A250409, A250410, A250411, A250412, A259374, A259375, A259376, A259377, A259378, A249156, A259380, A259381, A259382, A259383, A259384, A259385, A259386, A259387, A259388, A259389, A259390.
%K nonn,base
%O 1,3
%A _Robert G. Wilson v_, Jul 16 2015
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