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A046766 Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 4). 2
1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 4, 1, 2, 7, 8, 2, 7, 16, 13, 7, 20, 34, 23, 20, 46, 64, 42, 51, 99, 119, 80, 115, 200, 208, 158, 249, 377, 365, 315, 498, 686, 635, 617, 960, 1213, 1105, 1188, 1770, 2093, 1924, 2228, 3171, 3554, 3351, 4072, 5523, 5965, 5808, 7262 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

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

FORMULA

G.f.: (Sum_{k>=0} x^(7*k)/(Product_{j=1..k} 1 - x^(4*j))^3)/(Product_{j>=0} 1 - x^(4*j+3)). - Andrew Howroyd, Sep 16 2019

PROG

(PARI) seq(n)={Vec(sum(k=0, n\7, x^(7*k)/prod(j=1, k, 1 - x^(4*j) + O(x*x^n))^3)/prod(j=0, n\4, 1 - x^(4*j+3) + O(x*x^n)))} \\ Andrew Howroyd, Sep 16 2019

CROSSREFS

Cf. A046765.

Sequence in context: A144172 A227318 A166692 * A292147 A003285 A059347

Adjacent sequences:  A046763 A046764 A046765 * A046767 A046768 A046769

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified June 4 05:19 EDT 2020. Contains 334815 sequences. (Running on oeis4.)