A244957 - OEIS

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A244957

Smallest positive multiple of n whose base-6 representation contains only 0's and 1's.

1, 6, 6, 36, 1555, 6, 7, 216, 36, 9330, 253, 36, 1339, 42, 9330, 1296, 1513, 36, 7999, 55980, 42, 1518, 253, 216, 9325, 8034, 216, 252, 47995, 9330, 217, 7776, 1518, 9078, 12093235, 36, 37, 47994, 8034, 335880, 46699, 42, 43, 9108, 55980, 1518, 48175, 1296

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Eric M. Schmidt, Table of n, a(n) for n = 0..1000

Ed Pegg Jr., 'Binary' Puzzle

Eric M. Schmidt, Sage code to compute this sequence (use b=6)

Chai Wah Wu, Pigeonholes and repunits, Amer. Math. Monthly, 121 (2014), 529-533.

MATHEMATICA

Module[{nn=10, b6}, b6=Rest[FromDigits[#, 6]&/@Tuples[{0, 1}, nn]]; Table[SelectFirst[ b6, Mod[#, n]==0&], {n, 100}]] (* Harvey P. Dale, Feb 03 2024 *)

CROSSREFS

Cf. A004286 (written in base 6), A004290, A244954-A244960.

Sequence in context: A215270 A203057 A165424 * A186982 A196075 A156099

Adjacent sequences: A244954 A244955 A244956 * A244958 A244959 A244960

KEYWORD

nonn,base

AUTHOR

Eric M. Schmidt, Jul 09 2014

EXTENSIONS

Data corrrected, offset corrected, and b-file replaced by Harvey P. Dale, Feb 03 2024

STATUS

approved