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A259383 Palindromic numbers in bases 5 and 8 written in base 10. 15

%I #13 Aug 18 2015 12:57:29

%S 0,1,2,3,4,6,18,36,186,438,2268,2709,11898,18076,151596,228222,563786,

%T 5359842,32285433,257161401,551366532,621319212,716064597,2459962002,

%U 5018349804,5067084204,7300948726,42360367356,139853034114,176616961826,469606524278,669367713609,1274936571666,1284108810066,5809320306961,8866678870082,11073162740322,14952142559323,325005646077513

%N Palindromic numbers in bases 5 and 8 written in base 10.

%H Giovanni Resta, <a href="/A259383/b259383.txt">Table of n, a(n) for n = 1..67</a>

%H <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>

%F Intersection of A029952 and A029803.

%e 186 is in the sequence because 186_10 = 272_8 = 1221_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, 8]; If[palQ[pp, 5], AppendTo[lst, pp]; Print[pp]]; k++]; lst

%t b1=5; b2=8; 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. 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

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)