A244955 Smallest positive multiple of n whose base-4 representation contains only 0's and 1's.

1, 4, 21, 4, 5, 84, 21, 16, 81, 20, 341, 84, 65, 84, 1365, 16, 17, 324, 1045, 20, 21, 1364, 69, 336, 325, 260, 81, 84, 261, 5460, 341, 64, 1089, 68, 1365, 324, 4181, 4180, 273, 80, 1025, 84, 5461, 1364, 5445, 276, 20821, 336, 1029, 1300, 4437, 260, 5141

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=4)

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

Mathematica

Module[{nn=10, b4}, b4=Rest[FromDigits[#, 4]&/@Tuples[{0, 1}, nn]]; Table[SelectFirst[b4, Mod[ #, n]==0&], {n, 60}]] (* Harvey P. Dale, Feb 01 2024 *)

Crossrefs

Cf. A004284 (written in base 4), A004290, A244954-A244960.

Sequence in context: A217369 A146342 A103896 * A272969 A327085 A083192

Adjacent sequences: A244952 A244953 A244954 * A244956 A244957 A244958

Keyword

nonn,base

Author

Eric M. Schmidt, Jul 09 2014

Extensions

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

Status

approved