A259376 Palindromic numbers in bases 4 and 6 written in base 10.

0, 1, 2, 3, 5, 21, 55, 215, 819, 1885, 7373, 7517, 12691, 14539, 69313, 196606, 1856845, 3314083, 5494725, 33348861, 223892055, 231755895, 322509617, 3614009815, 4036503055, 4165108015, 9233901154, 9330794722, 12982275395, 107074105033, 186398221946, 270747359295, 401478741365, 1809863435625, 2281658774290, 11931403417210, 12761538567790, 12887266632430, 15822654274715, 30255762326713, 46164680151002, 323292550693473, 329536806222753

Offset: 1

Author

Eric A. Schmidt and Robert G. Wilson v, Jul 15 2015

Keywords

• nonn
• base

Examples

			55 is in the sequence because 55_10 = 131_6 = 313_4.
		

Links

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

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.

Programs

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, 4], AppendTo[lst, pp]; Print[pp]]; k++]; lst

Formula

Intersection of A014190 and A029953.