A385324 Numbers whose digits are all powers of the same single-digit base.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 24, 28, 31, 33, 39, 41, 42, 44, 48, 51, 55, 61, 66, 71, 77, 81, 82, 84, 88, 91, 93, 99, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 124, 128, 131, 133, 139, 141, 142, 144, 148

Offset

1,3

Links

Stefano Spezia, Table of n, a(n) for n = 1..10000

Formula

{0} U A028846 U A174813 U A276037 U A276039 U A284293.

Example

84 is a term since its digits 8 and 4 are both powers of 2.

Mathematica

Select[Range[0, 148], SubsetQ[{0}, dig=IntegerDigits[#]]||SubsetQ[{1, 2, 4, 8}, dig]||SubsetQ[{1, 3, 9}, dig]||SubsetQ[{1, 5}, dig]||SubsetQ[{1, 6}, dig]||SubsetQ[{1, 7}, dig] &]

Crossrefs

Cf. A028846, A174813, A276037, A276039, A284293.

Cf. A385351 (subsequence)

Sequence in context: A277061 A361978 A090274 * A254621 A382465 A383246

Adjacent sequences: A385321 A385322 A385323 * A385325 A385326 A385327

Keyword

nonn,base,easy,look

Author

Stefano Spezia, Jun 25 2025

Status

approved