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A046786 Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2, 3 and 4 (mod 5). 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 6, 6, 6, 6, 16, 21, 22, 22, 23, 43, 58, 63, 64, 68, 104, 139, 155, 160, 175, 236, 307, 347, 364, 405, 509, 640, 727, 772, 874, 1054, 1285, 1456, 1562, 1784, 2106, 2501, 2819, 3046, 3502, 4084, 4756, 5322, 5782 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,20

LINKS

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

FORMULA

G.f.: (Sum_{k>0} x^(14*k)/(Product_{j=1..k} 1 - x^(5*j))^3)/(Product_{j>=0} 1 - x^(5*j+1)). - Andrew Howroyd, Sep 16 2019

PROG

(PARI) seq(n)={Vec(sum(k=1, n\14, x^(14*k)/prod(j=1, k, 1 - x^(5*j) + O(x*x^(n-14*k)))^4)/prod(j=0, n\5, 1 - x^(5*j+1) + O(x*x^n)), -(n+1))} \\ Andrew Howroyd, Sep 16 2019

CROSSREFS

Cf. A046787.

Sequence in context: A074826 A018246 A101101 * A035591 A256683 A120206

Adjacent sequences:  A046783 A046784 A046785 * A046787 A046788 A046789

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified August 12 17:17 EDT 2020. Contains 336439 sequences. (Running on oeis4.)