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A069524 Smallest multiple of n with digit sum = 5, or 0 if no such number exists, e.g. a(3k) = a(11k) = 0. 8

%I #12 Sep 05 2019 09:30:39

%S 5,14,0,32,5,0,14,32,0,50,0,0,104,14,0,32,221,0,1121,140,0,0,23,0,50,

%T 104,0,140,203,0,2201,32,0,2210,140,0,0,3002,0,320,41,0,2021,0,0,230,

%U 2021,0,22001,50,0,104,212,0,0,1400,0,2030,1121,0,122,22010,0,320,1040

%N Smallest multiple of n with digit sum = 5, or 0 if no such number exists, e.g. a(3k) = a(11k) = 0.

%C a(3k)= a(11k) =a(37k)=0. - _Ray Chandler_, Jul 30 2003

%H Robert Israel, <a href="/A069524/b069524.txt">Table of n, a(n) for n = 1..3000</a>

%F a(n) = n*A088394(n). - _R. J. Mathar_, Aug 06 2019

%p nextL:= proc(L)

%p local m,q,Lp;

%p for m from 1 do

%p if L[m] > 0 then

%p if m = LinearAlgebra:-Dimension(L) then return <4,0$(m-1),1>

%p else Lp:= L;

%p Lp[1]:= L[m]-1;

%p Lp[2..m]:= 0;

%p Lp[m+1]:= L[m+1]+1;

%p return Lp;

%p fi

%p fi

%p od;

%p end proc:

%p N:= 300:

%p Agenda:= remove(t -> ormap(s -> (t mod s = 0), [3,11,37,101,137,239]), {$1..N}):

%p L:= <5>: x:= 5:

%p A:= Vector(N):

%p while Agenda <> {} and x < 10^40 do

%p x:= add(L[i]*10^(i-1),i=1..LinearAlgebra:-Dimension(L));

%p found,Agenda:= selectremove(t -> x mod t = 0, Agenda);

%p if found <> {} then

%p A[convert(found,list)]:= x;

%p fi;

%p L:= nextL(L);

%p od:

%p convert(A,list): # _Robert Israel_, Sep 05 2019

%Y Cf. A052219, A069521, A069522, A069523.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Apr 01 2002

%E More terms from _Ray Chandler_, Jul 30 2003

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)