A339323 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^8.

1, 8, 8, 44, 8, 72, 8, 192, 44, 72, 8, 424, 8, 72, 72, 726, 8, 424, 8, 424, 72, 72, 8, 1960, 44, 72, 192, 424, 8, 712, 8, 2464, 72, 72, 72, 2620, 8, 72, 72, 1960, 8, 712, 8, 424, 424, 72, 8, 7768, 44, 424, 72, 424, 8, 1960, 72, 1960, 72, 72, 8, 4456, 8, 72, 424

Offset: 1

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

• nonn

Comments

Number of factorizations of n into factors (greater than 1) of 8 kinds.

Crossrefs

Cf. A001055, A023007, A301830, A339318, A339319, A339320, A339321, A339322, A339324.

Formula

a(p^k) = A023007(k) for prime p.