A339319 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^4.

1, 4, 4, 14, 4, 20, 4, 40, 14, 20, 4, 76, 4, 20, 20, 105, 4, 76, 4, 76, 20, 20, 4, 236, 14, 20, 40, 76, 4, 116, 4, 252, 20, 20, 20, 306, 4, 20, 20, 236, 4, 116, 4, 76, 76, 20, 4, 656, 14, 76, 20, 76, 4, 236, 20, 236, 20, 20, 4, 476, 4, 20, 76, 574, 20, 116, 4, 76, 20, 116

Offset: 1

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

• nonn

Comments

Number of factorizations of n into factors (greater than 1) of 4 kinds.

Crossrefs

Cf. A001055, A023003, A301830, A339318, A339320, A339321, A339322, A339323, A339324.

Formula

a(p^k) = A023003(k) for prime p.