A004286 Least positive multiple of n written in base 6 using only 0 and 1.

1, 10, 10, 100, 11111, 10, 11, 1000, 100, 111110, 1101, 100, 10111, 110, 111110, 10000, 11001, 100, 101011, 1111100, 110, 11010, 1101, 1000, 111101, 101110, 1000, 1100, 1010111, 111110, 1001, 100000, 11010, 110010, 1111111111, 100, 101, 1010110, 101110, 11111000

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Maple

N:= 100: # for a(1)..a(N)
V:= Vector(N): count:= 0:
for x from 1 while count < N do
  L:= convert(x, base, 2);
  y:= add(L[i]*6^(i-1), i=1..nops(L));
  for z in NumberTheory:-Divisors(y) do
    if z <= N and V[z] = 0 then V[z]:= add(L[i]*10^(i-1), i=1..nops(L)); count:= count+1;  fi
  od;
od:
convert(V, list); # Robert Israel, Jan 01 2026

Prog

(PARI) a(n) = {k=1; while (vecmax(digits(k*n, 6)) != 1, k++); subst(Pol(digits(k*n, 6)), x, 10); }

Crossrefs

Sequence in context: A288765 A287743 A287907 * A145595 A287742 A288494

Adjacent sequences: A004283 A004284 A004285 * A004287 A004288 A004289

Keyword

nonn,base

Author

David W. Wilson

Extensions

a(29) corrected by Sean A. Irvine, Dec 26 2015

More terms from Michel Marcus, Dec 27 2015

Status

approved