A280586 - OEIS

A280586

Expansion of Product_{p prime, k>=2} 1/(1 - x^(p^k)).

1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 4, 2, 1, 0, 4, 2, 1, 0, 6, 5, 2, 2, 6, 5, 2, 2, 10, 8, 5, 4, 12, 8, 5, 4, 16, 14, 8, 9, 18, 16, 8, 9, 24, 23, 15, 14, 30, 25, 18, 14, 36, 36, 26, 25, 42, 42, 29, 28, 52, 54, 42, 40, 65, 60, 50, 43, 78, 78, 65, 63, 93, 92, 73, 72, 110, 117, 96, 94, 135, 133, 114, 103, 158, 166, 145

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OFFSET

0,9

COMMENTS

Number of partitions of n into proper prime powers (A246547).

LINKS

Table of n, a(n) for n=0..90.

Eric Weisstein's World of Mathematics, Prime Power

Index entries for related partition-counting sequences

FORMULA

G.f.: Product_{p prime, k>=2} 1/(1 - x^(p^k)).

EXAMPLE