A339812 - OEIS

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A339812

Number of prime divisors of (A019565(n) - 1), counted with multiplicity.

0, 1, 1, 2, 2, 2, 1, 2, 1, 3, 1, 2, 2, 4, 2, 2, 2, 5, 2, 4, 1, 3, 2, 3, 3, 3, 1, 8, 1, 2, 1, 3, 2, 2, 2, 6, 2, 2, 1, 4, 1, 5, 2, 2, 3, 4, 1, 2, 3, 3, 1, 4, 1, 6, 1, 6, 3, 3, 2, 5, 1, 2, 1, 4, 2, 3, 1, 4, 2, 2, 1, 2, 2, 3, 2, 5, 2, 4, 2, 3, 1, 6, 2, 2, 3, 3, 2, 4, 1, 3, 1, 5, 2, 2, 2, 4, 4, 2, 3, 6, 2, 2, 2, 2, 2

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OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

FORMULA

a(n) = A001222(A339809(n)) = A001222(A019565(n)-1).

a(n) = A001222(A339810(n)).

PROG

(PARI)

A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); };

A339812(n) = bigomega(A019565(n)-1);