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A325035 Product of sums of the multisets of prime indices of each prime index of 2 * n + 1.

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%I A325035 #7 Mar 27 2019 18:55:05
%S A325035 1,1,2,2,1,3,3,2,4,3,2,4,4,1,4,5,3,4,4,3,6,5,2,5,4,4,4,6,3,7,5,2,6,8,
%T A325035 4,5,6,4,6,6,1,9,8,4,5,6,5,6,6,3,7,6,4,6,10,4,6,8,3,8,9,6,8,11,5,5,6,
%U A325035 2,7,8,5,9,8,4,7,6,4,10,12,4,8,9,6,8,9,3
%N A325035 Product of sums of the multisets of prime indices of each prime index of 2 * n + 1.
%C A325035 A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.
%F A325035 Fully multiplicative with a(prime(n)) = A056239(n), restricted to odd n.
%e A325035 91 has prime indices {4,6} with prime indices {{1,1},{1,2}} with sums {2,3} with product a(45) = 6.
%t A325035 primeMS[n_]:=If[n==1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]];
%t A325035 Table[Times@@Plus@@@primeMS/@primeMS[n],{n,1,200,2}]
%Y A325035 Cf. A000720, A001055, A001222, A003963, A056239, A112798, A302242, A318949.
%Y A325035 Cf. A324926, A325031, A325032, A325033, A325034.
%K A325035 nonn
%O A325035 0,3
%A A325035 _Gus Wiseman_, Mar 25 2019