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A046775 Number of partitions of n with equal number of parts congruent to each of 1, 2, 3 and 4 (mod 5). 2
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 (list; graph; refs; listen; history; text; internal format)
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 A204060 A085393

Adjacent sequences:  A046772 A046773 A046774 * A046776 A046777 A046778

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified September 22 14:37 EDT 2020. Contains 337291 sequences. (Running on oeis4.)