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A319703 a(n) = A003415(A252463(n)).

%I A319703 #6 Nov 22 2018 18:16:29
%S A319703 0,0,1,1,1,1,1,4,4,1,1,5,1,1,5,12,1,6,1,7,7,1,1,16,6,1,12,9,1,8,1,32,
%T A319703 9,1,8,21,1,1,13,24,1,10,1,13,16,1,1,44,10,10,15,15,1,27,10,32,19,1,1,
%U A319703 31,1,1,24,80,14,14,1,19,21,12,1,60,1,1,21,21,12,16,1,68,32,1,1,41,16,1,25,48,1,39,16,25,31,1
%N A319703 a(n) = A003415(A252463(n)).
%H A319703 Antti Karttunen, <a href="/A319703/b319703.txt">Table of n, a(n) for n = 1..16384</a>
%F A319703 a(n) = A003415(A252463(n)).
%o A319703 (PARI)
%o A319703 A003415(n) = {my(fac); if(n<1, 0, fac=factor(n); sum(i=1, matsize(fac)[1], n*fac[i, 2]/fac[i, 1]))}; \\ From A003415
%o A319703 A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};
%o A319703 A252463(n) = if(!(n%2),n/2,A064989(n));
%o A319703 A319703(n) = A003415(A252463(n));
%Y A319703 Cf. A003415, A252463.
%Y A319703 Cf. also A319699, A319700, A319989, A320107, A320111.
%K A319703 nonn
%O A319703 1,8
%A A319703 _Antti Karttunen_, Nov 22 2018