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A343883 Numbers k such that A023896(k) is a multiple of A340179(k).

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%I A343883 #6 May 04 2021 09:03:25
%S A343883 3,4,6,8,10,16,30,54
%N A343883 Numbers k such that A023896(k) is a multiple of A340179(k).
%C A343883 Conjecture: there are only 8 terms.
%e A343883 a(6) = 16 is a term because A023896(16) = 64 is a multiple of A340179(16) = 32.
%p A343883 filter:= proc(n) local S,s,t;
%p A343883   S:= select(t -> igcd(t,n)=1, [$1..n-1]);
%p A343883   s:= nops(S)*n/2;
%p A343883   s mod add(s mod t,t=S) = 0;
%p A343883 end proc:
%p A343883 select(filter, [$3..1000]);
%Y A343883 Cf. A023896, A340179.
%K A343883 nonn,more
%O A343883 1,1
%A A343883 _J. M. Bergot_ and _Robert Israel_, May 02 2021