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 A004288 Least positive multiple of n written in base 8 using only 0 and 1. 2

%I

%S 0,1,10,11,10,101,110,1111111,10,11,1010,10111,110,101,11111110,1111,

%T 100,10001,110,1001,1010,101011111,101110,101001,110,1011111,1010,

%U 1001,11111110,1010011,11110,11111,100,100001,100010,100111111,110

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

%H Chai Wah Wu, <a href="/A004288/b004288.txt">Table of n, a(n) for n = 0..10000</a>

%p f:= proc(n) local R, S, m, p, Snew, s;

%p R[1]:= 1; R[0]:= 0; S:= {0,1};

%p for m from 1 do

%p p:= 8^m mod n;

%p Snew:= map(s -> s + p mod n, S);

%p if member(0,Snew) then return R[-p mod n]+10^m fi;

%p for s in Snew minus S do R[s] := R[s - p mod n] + 10^m od;

%p S:= S union Snew;

%p od

%p end proc:

%p 0,1, seq(f(n), n=2..100); # _Robert Israel_, Dec 30 2014

%o (Python)

%o def A004288(n):

%o ....if n > 0:

%o ........for i in range(1,2**n):

%o ............s = bin(i)[2:]

%o ............if not int(s,8) % n:

%o ................return int(s)

%o ....return 0 # _Chai Wah Wu_, Dec 30 2014

%K nonn,base

%O 0,3

%A _David W. Wilson_

%E added a(0) and corrected a(11), a(22), a(25) by _Chai Wah Wu_, Dec 30 2014

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Last modified October 19 03:34 EDT 2019. Contains 328211 sequences. (Running on oeis4.)