A339323 - OEIS

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A339323

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

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

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OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..63.

FORMULA

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

CROSSREFS

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

Sequence in context: A188275 A319019 A278846 * A240037 A241867 A243124

Adjacent sequences: A339320 A339321 A339322 * A339324 A339325 A339326

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Nov 30 2020

STATUS

approved