A301562 - OEIS

A301562

Expansion of Product_{k>=0} (1 + x^(5*k+1))*(1 + x^(5*k+2)).

1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 5, 6, 5, 4, 4, 6, 8, 8, 7, 7, 9, 12, 13, 11, 10, 12, 16, 19, 19, 17, 18, 23, 27, 27, 25, 25, 30, 37, 40, 38, 37, 42, 50, 55, 54, 52, 57, 68, 77, 78, 75, 78, 90, 102, 106, 104, 106, 120, 138, 146, 144, 145, 158

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,8

COMMENTS

Number of partitions of n into distinct parts congruent to 1 or 2 mod 5.

LINKS

Table of n, a(n) for n=0..70.

Index entries for sequences related to partitions

FORMULA

G.f.: Product_{k>=1} (1 + x^A047216(k)).

a(n) ~ exp(Pi*sqrt(2*n/15)) / (2^(17/20) * 15^(1/4) * n^(3/4)). - Vaclav Kotesovec, Mar 24 2018

EXAMPLE