

A325033


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


13



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, 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, 5, 4, 5, 2, 6, 4, 5, 3, 5, 4, 6, 2, 4, 6, 9, 3, 6, 5, 5
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OFFSET

1,5


COMMENTS

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.


LINKS

Table of n, a(n) for n=1..87.


FORMULA

Totally additive with a(prime(n)) = A056239(n).


EXAMPLE

91 has prime indices {4,6} with prime indices {{1,1},{1,2}} with sum a(91) = 5.


MATHEMATICA

primeMS[n_]:=If[n==1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]];
Table[Plus@@Join@@primeMS/@primeMS[n], {n, 100}]


CROSSREFS

Cf. A000720, A056239, A109082, A112798, A302242.
Cf. A324926, A325032, A325034, A325035.
Sequence in context: A240883 A048272 A112329 * A117448 A093321 A302015
Adjacent sequences: A325030 A325031 A325032 * A325034 A325035 A325036


KEYWORD

nonn


AUTHOR

Gus Wiseman, Mar 25 2019


STATUS

approved



