A316315 Numbers k such that the product of digits of k is a power of 12.

1, 11, 26, 34, 43, 62, 111, 126, 134, 143, 162, 216, 223, 232, 261, 289, 298, 314, 322, 341, 368, 386, 413, 431, 449, 466, 494, 612, 621, 638, 646, 664, 683, 829, 836, 863, 892, 928, 944, 982, 1111, 1126, 1134, 1143, 1162, 1216, 1223, 1232, 1261, 1289, 1298

Offset: 1

Author

Isaac Weiss and Henry Potts-Rubin, Jun 29 2018

Keywords

• base
• nonn

Examples

			466 is in the sequence because 4*6*6 = 144 = 12^2.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..64235

Crossrefs

Cf. A284375, A002275, A028846, A174813, A284323, A276037, A276038, A276039, A284324, A284295, A328560.

Programs

Mathematica

FromDigits /@ Select[Join @@ Map[Tuples[{1, 2, 3, 4, 6, 8, 9}, #] &, Range@4], IntegerQ@Log[12, Times @@ #] &]

Extensions

Two duplicate terms removed by Alois P. Heinz, Oct 20 2019