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A259375 Palindromic numbers in bases 3 and 6 written in base 10. 16
0, 1, 2, 4, 28, 80, 160, 203, 560, 644, 910, 34216, 34972, 74647, 87763, 122420, 221068, 225064, 6731644, 6877120, 6927700, 7723642, 8128762, 8271430, 77894071, 78526951, 539212009, 28476193256, 200267707484, 200316968444, 201509576804, 201669082004, 231852949304, 232018753064, 232039258376, 333349186006, 2947903946317, 5816975658914, 5817003372578, 11610051837124, 27950430282103, 81041908142188 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..64

FORMULA

Intersection of A014190 and A029953.

EXAMPLE

28 is in the sequence because 28_10 = 44_6 = 1001_3.

MATHEMATICA

(* 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, 6]; If[palQ[pp, 3], AppendTo[lst, pp]; Print[pp]]; k++]; lst

b1=3; b2=6; 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 15 2015 *)

CROSSREFS

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.

Sequence in context: A066228 A110881 A156449 * A192374 A274526 A264667

Adjacent sequences:  A259372 A259373 A259374 * A259376 A259377 A259378

KEYWORD

nonn,base

AUTHOR

Eric A. Schmidt and Robert G. Wilson v, Jul 14 2015

STATUS

approved

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Last modified March 21 07:23 EDT 2019. Contains 321367 sequences. (Running on oeis4.)