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%I #13 Aug 18 2015 12:57:29
%S 0,1,2,3,5,63,65,105,130,170,195,235,325,341,357,373,4095,4097,4161,
%T 4225,4289,6697,6761,6825,6889,8194,8258,8322,8386,10794,10858,10922,
%U 10986,12291,12355,12419,12483,14891,14955,15019,15083,20485,20805,21525,21845
%N Palindromic numbers in bases 4 and 8 written in base 10.
%H Giovanni Resta, <a href="/A259382/b259382.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>
%F Intersection of A014192 and A029803.
%e 235 is in the sequence because 235_10 = 353_8 = 3223_4.
%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, 8]; If[palQ[pp, 4], AppendTo[lst, pp]; Print[pp]]; k++]; lst
%t b1=4; b2=8; lst={}; Do[d1=IntegerDigits[n, b1]; d2=IntegerDigits[n, b2]; If[d1==Reverse[d1]&&d2==Reverse[d2], AppendTo[lst, n]], {n, 0, 30000}]; lst (* _Vincenzo Librandi_, Jul 17 2015 *)
%Y Cf. A048268, A060792, A097856, A097928, A182232, A259374, A097929, A182233, A259375, A259376, A097930, A182234, A259377, A259378, A249156, A097931, A259380, A259381, A259382, A259383, A259384, A099145, A259385, A259386, A259387, A259388, A259389, A259390, A099146, A007632, A007633, A029961, A029962, A029963, A029964, A029804, A029965, A029966, A029967, A029968, A029969, A029970, A029731, A097855, A250408, A250409, A250410, A250411, A099165, A250412.
%K nonn,base
%O 1,3
%A Eric A. Schmidt and _Robert G. Wilson v_, Jul 16 2015
%E Corrected and extended by _Giovanni Resta_, Jul 16 2015
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