A323305 - OEIS

A323305

Number of divisors of the number of prime factors of n counted with multiplicity.

1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 4, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

a(1) = 1 by convention.

First differs from A036430 at a(64) = 4, A036430(64) = 3.

LINKS

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

FORMULA

a(n) = A000005(A001222(n)).

MATHEMATICA

Array[Length@*Divisors@*PrimeOmega, 100]