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A325033 Sum of sums of the multisets of prime indices of each prime index of n.

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%I A325033 #5 Mar 26 2019 21:05:30
%S A325033 0,0,1,0,2,1,2,0,2,2,3,1,3,2,3,0,4,2,3,2,3,3,4,1,4,3,3,2,4,3,5,0,4,4,
%T A325033 4,2,4,3,4,2,6,3,5,3,4,4,5,1,4,4,5,3,4,3,5,2,4,4,7,3,5,5,4,0,5,4,8,4,
%U A325033 5,4,5,2,6,4,5,3,5,4,6,2,4,6,9,3,6,5,5
%N A325033 Sum of sums of the multisets of prime indices of each prime index of n.
%C A325033 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 A325033 Totally additive with a(prime(n)) = A056239(n).
%e A325033 91 has prime indices {4,6} with prime indices {{1,1},{1,2}} with sum a(91) = 5.
%t A325033 primeMS[n_]:=If[n==1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]];
%t A325033 Table[Plus@@Join@@primeMS/@primeMS[n],{n,100}]
%Y A325033 Cf. A000720, A056239, A109082, A112798, A302242.
%Y A325033 Cf. A324926, A325032, A325034, A325035.
%K A325033 nonn
%O A325033 1,5
%A A325033 _Gus Wiseman_, Mar 25 2019