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A316315
Numbers k such that the product of digits of k is a power of 12.
2
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
1,2
LINKS
EXAMPLE
466 is in the sequence because 4*6*6 = 144 = 12^2.
MATHEMATICA
FromDigits /@ Select[Join @@ Map[Tuples[{1, 2, 3, 4, 6, 8, 9}, #] &, Range@4], IntegerQ@Log[12, Times @@ #] &]
KEYWORD
base,nonn
AUTHOR
EXTENSIONS
Two duplicate terms removed by Alois P. Heinz, Oct 20 2019
STATUS
approved