A339320 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^5.

1, 5, 5, 20, 5, 30, 5, 65, 20, 30, 5, 130, 5, 30, 30, 190, 5, 130, 5, 130, 30, 30, 5, 455, 20, 30, 65, 130, 5, 205, 5, 506, 30, 30, 30, 595, 5, 30, 30, 455, 5, 205, 5, 130, 130, 30, 5, 1405, 20, 130, 30, 130, 5, 455, 30, 455, 30, 30, 5, 955, 5, 30, 130, 1265, 30, 205, 5, 130

Offset: 1

Author

Ilya Gutkovskiy, Nov 30 2020

Keywords

• nonn

Comments

Number of factorizations of n into factors (greater than 1) of 5 kinds.

Crossrefs

Cf. A001055, A023004, A301830, A339318, A339319, A339321, A339322, A339323, A339324.

Formula

a(p^k) = A023004(k) for prime p.