A259387 Palindromic numbers in bases 4 and 9 written in base 10.

0, 1, 2, 3, 5, 10, 255, 273, 373, 546, 2550, 2730, 2910, 16319, 23205, 54215, 1181729, 1898445, 2576758, 3027758, 3080174, 4210945, 9971750, 163490790, 2299011170, 6852736153, 6899910553, 160142137430, 174913133450, 204283593150, 902465909895, 1014966912315, 2292918574418, 9295288254930, 11356994802010, 11372760382810, 38244097345762

Offset

1,3

Links

Giovanni Resta, Table of n, a(n) for n = 1..57

Index entries for sequences related to palindromes

Formula

Intersection of A014192 and A029955.

Example

273 is in the sequence because 273_10 = 333_9 = 10101_4.

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, 9]; If[palQ[pp, 4], AppendTo[lst, pp]; Print[pp]]; k++]; lst
b1=4; 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 *)

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: A134294 A154956 A197312 * A130165 A083397 A067362

Adjacent sequences: A259384 A259385 A259386 * A259388 A259389 A259390

Keyword

nonn,base

Author

Eric A. Schmidt and Robert G. Wilson v, Jul 16 2015

Status

approved