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A046783 Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1, 2 and 3 (mod 5). 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 4, 0, 0, 1, 5, 10, 1, 1, 5, 15, 21, 5, 5, 16, 36, 41, 19, 17, 41, 76, 80, 53, 46, 92, 151, 156, 132, 111, 192, 287, 307, 293, 248, 378, 537, 599, 616, 521, 722, 990, 1158, 1220, 1051, 1346, 1818, 2191, 2339, 2050, 2481, 3302 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,17

LINKS

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

FORMULA

G.f.: (Sum_{k>0} x^(11*k)/(Product_{j=1..k} 1 - x^(5*j))^3)/(Product_{j>=0} 1 - x^(5*j+4)). - Andrew Howroyd, Sep 16 2019

PROG

(PARI) seq(n)={Vec(sum(k=1, n\11, x^(11*k)/prod(j=1, k, 1 - x^(5*j) + O(x*x^(n-11*k)))^4)/prod(j=0, n\5, 1 - x^(5*j+4) + O(x*x^n)), -(n+1))} \\ Andrew Howroyd, Sep 16 2019

CROSSREFS

Cf. A046787.

Sequence in context: A229655 A335951 A254156 * A134832 A123163 A194794

Adjacent sequences:  A046780 A046781 A046782 * A046784 A046785 A046786

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified August 7 11:34 EDT 2020. Contains 336275 sequences. (Running on oeis4.)