A326567 - OEIS

A326567

Numerator of the average of the multiset of prime indices of n.

120

1, 2, 1, 3, 3, 4, 1, 2, 2, 5, 4, 6, 5, 5, 1, 7, 5, 8, 5, 3, 3, 9, 5, 3, 7, 2, 2, 10, 2, 11, 1, 7, 4, 7, 3, 12, 9, 4, 3, 13, 7, 14, 7, 7, 5, 15, 6, 4, 7, 9, 8, 16, 7, 4, 7, 5, 11, 17, 7, 18, 6, 8, 1, 9, 8, 19, 3, 11, 8, 20, 7, 21, 13, 8, 10, 9, 3, 22, 7, 2, 7

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OFFSET

2,2

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=2..82.

EXAMPLE

The prime indices of 12 are {1,1,2}, with average 4/3, so a(12) = 4.

MATHEMATICA

Table[Numerator[Sum[q[[2]]*PrimePi[q[[1]]], {q, FactorInteger[n]}]/PrimeOmega[n]], {n, 2, 100}]

CROSSREFS