A046775 Number of partitions of n with equal number of parts congruent to each of 1, 2, 3 and 4 (mod 5).

1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0, 0, 0, 22, 0, 0, 0, 0, 53, 0, 0, 0, 0, 124, 0, 0, 0, 0, 269, 0, 0, 0, 0, 568, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 2284, 0, 0, 0, 0, 4410, 0, 0, 0, 0, 8363, 0, 0, 0, 0, 15542, 0, 0, 0, 0, 28438, 0, 0, 0, 0, 51201, 0, 0, 0, 0, 90930, 0, 0, 0, 0

Offset

0,11

Links

Andrew Howroyd, Table of n, a(n) for n = 0..1000

Formula

G.f.: (Sum_{k>=0} x^(10*k)/(Product_{j=1..k} 1 - x^(5*j))^3)/(Product_{j>=0} 1 - x^(5*j+5)). - Andrew Howroyd, Sep 16 2019

Prog

(PARI) seq(n)={Vec(sum(k=0, n\10, x^(10*k)/prod(j=1, k, 1 - x^(5*j) + O(x*x^n))^4)/prod(j=0, n\5, 1 - x^(5*j+5) + O(x*x^n)))} \\ Andrew Howroyd, Sep 16 2019

Crossrefs

Cf. A046765.

Sequence in context: A220093 A097017 A108707 * A221787 A348070 A348071

Adjacent sequences: A046772 A046773 A046774 * A046776 A046777 A046778

Keyword

nonn

Author

David W. Wilson

Status

approved