A301567 - OEIS

A301567

Expansion of Product_{k>=1} (1 + x^(5*k))*(1 + x^(5*k-4)).

1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 3, 2, 0, 0, 2, 5, 4, 1, 0, 2, 7, 7, 2, 0, 3, 10, 11, 4, 0, 4, 14, 17, 8, 1, 5, 19, 25, 13, 2, 6, 25, 36, 21, 4, 8, 33, 50, 33, 8, 10, 43, 69, 49, 14, 13, 55, 93, 71, 23, 17, 70, 124, 102, 37, 22, 88, 163, 142, 57, 30, 110, 212, 195, 85

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OFFSET

0,7

COMMENTS

Number of partitions of n into distinct parts congruent to 0 or 1 mod 5.

LINKS

Table of n, a(n) for n=0..74.

Index entries for sequences related to partitions

FORMULA

G.f.: Product_{k>=2} (1 + x^A008851(k)).

a(n) ~ exp(Pi*sqrt(2*n/15)) / (2^(29/20) * 15^(1/4) * n^(3/4)). - Vaclav Kotesovec, Mar 24 2018

EXAMPLE