A328630 a(n) is the number of prime factors in A328624(n), counted with multiplicity.

0, 1, 1, 3, 2, 2, 1, 2, 3, 5, 5, 5, 2, 3, 5, 7, 3, 3, 3, 4, 2, 4, 6, 6, 4, 5, 4, 6, 4, 4, 1, 2, 2, 4, 3, 3, 3, 4, 5, 7, 7, 7, 5, 6, 8, 10, 6, 6, 7, 8, 6, 8, 10, 10, 9, 10, 9, 11, 9, 9, 2, 3, 3, 5, 4, 4, 5, 6, 7, 9, 9, 9, 8, 9, 11, 13, 9, 9, 4, 5, 3, 5, 7, 7, 7, 8, 7, 9, 7, 7, 3, 4, 4, 6, 5, 5, 7, 8, 9, 11, 11, 11, 4, 5, 7, 9

Offset

0,4

Links

Antti Karttunen, Table of n, a(n) for n = 0..30030

Index entries for sequences related to primorial base

Formula

a(n) = A001222(A328624(n)).

a(n) = A276150(A328625(n)).

Prog

(PARI)
A328624(n) = { my(m=1, p=2, e, g=1); while(n, e = (n%p); m *= (p^((g*e)%p)); g = e+1; n = n\p; p = nextprime(1+p)); (m); };
A328630(n) = bigomega(A328624(n));

Crossrefs

Cf. A001222, A276150, A328624, A328625, A328628.

Sequence in context: A175632 A226481 A088435 * A171900 A204257 A074976

Adjacent sequences: A328627 A328628 A328629 * A328631 A328632 A328633

Keyword

nonn

Author

Antti Karttunen, Oct 25 2019

Status

approved