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A328310 a(n) = A051903(A003415(n)) - A051903(n).

%I A328310 #6 Oct 13 2019 18:09:37
%S A328310 -1,-1,0,-1,0,-1,-1,-1,0,-1,2,-1,1,2,1,-1,-1,-1,1,0,0,-1,-1,-1,0,0,3,
%T A328310 -1,0,-1,-1,0,0,1,0,-1,0,3,-1,-1,0,-1,2,-1,1,-1,0,-1,0,1,1,-1,1,3,-1,
%U A328310 0,0,-1,0,-1,0,-1,0,1,0,-1,1,0,0,-1,-1,-1,0,-1,2,1,0,-1,0,-1,0,-1,0,0,1,4,-1,-1,-1,1,3,0,1,2
%N A328310 a(n) = A051903(A003415(n)) - A051903(n).
%H A328310 Antti Karttunen, <a href="/A328310/b328310.txt">Table of n, a(n) for n = 2..20000</a>
%F A328310 a(n) = A051903(A003415(n)) - A051903(n).
%F A328310 a(n) = A328311(n) - 1.
%o A328310 (PARI)
%o A328310 A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A328310 A051903(n) = if((1==n),0,vecmax(factor(n)[, 2]));
%o A328310 A328310(n) = (A051903(A003415(n)) - A051903(n));
%Y A328310 Cf. A003415, A051903, A328320, A328321.
%Y A328310 One less than A328311.
%K A328310 sign
%O A328310 2,11
%A A328310 _Antti Karttunen_, Oct 13 2019