A244958 Smallest positive multiple of n whose base-7 representation contains only 0's and 1's.

1, 8, 57, 8, 50, 19608, 7, 8, 351, 50, 2409, 19608, 351, 56, 2745, 400, 16864, 134856, 57, 400, 399, 2794, 17158, 19608, 50, 19552, 351, 56, 137257, 120450, 16864, 2752, 2409, 16864, 350, 134856, 117993, 19608, 351, 400, 134849, 137256, 344, 16808, 2745

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Ed Pegg Jr., 'Binary' Puzzle

Eric M. Schmidt, Sage code to compute this sequence (use b=7)

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

Mathematica

With[{cl=Rest[{FromDigits[#, 7], FromDigits[#]}&/@Tuples[{0, 1}, 7]]}, Table[SelectFirst[cl, Mod[ #[[1]], n]==0&], {n, 50}]][[;; , 1]] (* Harvey P. Dale, Feb 01 2024 *)

Crossrefs

Cf. A004287 (written in base 7), A004290, A244954-A244960.

Sequence in context: A009089 A296466 A202863 * A043071 A304352 A305915

Adjacent sequences: A244955 A244956 A244957 * A244959 A244960 A244961

Keyword

nonn,base

Author

Eric M. Schmidt, Jul 09 2014

Extensions

Data corrected, Offset corrected, Mathematica program corrected and replaced, and b-file replaced by Harvey P. Dale, Feb 01 2024

Status

approved