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A326568
Denominator of the average of the multiset of prime indices of n.
120
1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 3, 1, 3, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 3, 1, 3, 3, 1, 1, 5, 1, 3, 2, 3, 1, 4, 1, 4, 1, 2, 1, 4, 1, 1, 3, 1, 2, 3, 1, 1, 2, 3, 1, 5, 1, 2, 3, 3, 2, 1, 1, 5, 1, 1, 1, 1, 1, 2, 1, 1
OFFSET
0,5
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.
EXAMPLE
The prime indices of 12 are {1,1,2}, with average 4/3, so a(12) = 3.
MATHEMATICA
Table[Denominator[Sum[q[[2]]*PrimePi[q[[1]]], {q, FactorInteger[n]}]/PrimeOmega[n]], {n, 2, 100}]
CROSSREFS
a(n) is a divisor of Omega(n) = A001222(n).
Positions of 1's are A316413.
Sequence in context: A323163 A322318 A014649 * A279817 A309386 A253642
KEYWORD
nonn,frac
AUTHOR
Gus Wiseman, Jul 13 2019
STATUS
approved