A339324 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^9.

1, 9, 9, 54, 9, 90, 9, 255, 54, 90, 9, 576, 9, 90, 90, 1035, 9, 576, 9, 576, 90, 90, 9, 2871, 54, 90, 255, 576, 9, 981, 9, 3753, 90, 90, 90, 3861, 9, 90, 90, 2871, 9, 981, 9, 576, 576, 90, 9, 12186, 54, 576, 90, 576, 9, 2871, 90, 2871, 90, 90, 9, 6651, 9, 90, 576

Offset: 1

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

• nonn

Comments

Number of factorizations of n into factors (greater than 1) of 9 kinds.

Crossrefs

Cf. A001055, A023008, A301830, A339318, A339319, A339320, A339321, A339322, A339323.

Formula

a(p^k) = A023008(k) for prime p.