A004288 Least positive multiple of n written in base 8 using only 0 and 1.

1, 10, 11, 10, 101, 110, 1111111, 10, 11, 1010, 10111, 110, 101, 11111110, 1111, 100, 10001, 110, 1001, 1010, 101011111, 101110, 101001, 110, 1011111, 1010, 1001, 11111110, 1010011, 11110, 11111, 100, 100001, 100010, 100111111, 110

Offset

1,2

Links

Chai Wah Wu, Table of n, a(n) for n = 0..10000

Maple

f:= proc(n) local R, S, m, p, Snew, s;
   R[1]:= 1; R[0]:= 0; S:= {0, 1};
   for m from 1 do
      p:= 8^m mod n;
      Snew:= map(s -> s + p mod n, S);
      if member(0, Snew) then return R[-p mod n]+10^m fi;
      for s in Snew minus S do R[s] := R[s - p mod n] + 10^m od;
      S:= S union Snew;
    od
end proc:
1, seq(f(n), n=2..100); # Robert Israel, Dec 30 2014

Prog

(Python)
def A004288(n):
    if n > 0:
        for i in range(1, 2**n):
            s = bin(i)[2:]
            if not int(s, 8) % n:
                return int(s)
    return 0 # Chai Wah Wu, Dec 30 2014

Crossrefs

Sequence in context: A082492 A004053 A077812 * A065016 A087381 A136400

Adjacent sequences: A004285 A004286 A004287 * A004289 A004290 A004291

Keyword

nonn,base

Author

David W. Wilson

Extensions

a(11), a(22), a(25) corrected by Chai Wah Wu, Dec 30 2014

Initial 0 deleted and offset corrected by N. J. A. Sloane, Jan 31 2024

Status

approved