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A004283 Least positive multiple of n written in base 3 using only 0 and 1. 3
1, 11, 10, 11, 101, 110, 1001, 1111, 100, 101, 11111, 110, 111, 1001, 1010, 11011, 10011, 1100, 100011, 1111, 10010, 111001, 100101, 11110, 110001, 111111, 1000, 1001, 1011011, 1010, 1011, 100111, 111110, 1011111, 101101, 1100, 1101 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

MAPLE

h:= proc(n)

  option remember;

  local t, x;

  t:= n mod 3;

  if t = 2 then -1

  else

    x:= procname((n-t)/3);

    if x = -1 then -1

    else 10*x + t

    fi

  fi

end proc:

h(0):= 0:

h(1):= 1:

A004283:= proc(n) local k, r;

  for k from 1 do

    r:= h(k*n);

    if r <> -1 then return r fi

  od

end proc:

seq(A004283(n), n=1..100); # Robert Israel, Dec 26 2015

PROG

(PARI) a(n) = {k=1; while (vecmax(digits(k*n, 3)) != 1, k++); subst(Pol(digits(k*n, 3)), x, 10); } \\ Michel Marcus, Dec 27 2015

CROSSREFS

Cf. A005836.

Sequence in context: A086100 A182782 A217789 * A106421 A019329 A086919

Adjacent sequences:  A004280 A004281 A004282 * A004284 A004285 A004286

KEYWORD

nonn,base

AUTHOR

David W. Wilson

EXTENSIONS

a(34) corrected by Sean A. Irvine, Dec 26 2015

STATUS

approved

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Last modified June 19 19:11 EDT 2019. Contains 324222 sequences. (Running on oeis4.)