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A046769
Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 4).
2
1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 4, 0, 4, 0, 11, 0, 9, 0, 26, 0, 21, 0, 55, 0, 49, 0, 110, 0, 109, 0, 212, 0, 231, 0, 397, 0, 471, 0, 729, 0, 920, 0, 1320, 0, 1741, 0, 2357, 0, 3198, 0, 4160, 0, 5734, 0, 7258, 0, 10058, 0, 12518, 0, 17329, 0, 21346, 0, 29364, 0, 35998, 0, 49063
OFFSET
0,9
LINKS
FORMULA
G.f.: (Sum_{k>=0} x^(6*k)/(Product_{j=1..k} 1 - x^(4*j))^3)/(Product_{j>=0} 1 - x^(4*j+4)). - Andrew Howroyd, Sep 16 2019
PROG
(PARI) seq(n)={Vec(sum(k=0, n\6, x^(6*k)/prod(j=1, k, 1 - x^(4*j) + O(x*x^n))^3)/prod(j=0, n\4, 1 - x^(4*j+4) + O(x*x^n)))} \\ Andrew Howroyd, Sep 16 2019
CROSSREFS
Cf. A046765.
Sequence in context: A082519 A035688 A364105 * A145893 A137561 A337605
KEYWORD
nonn
STATUS
approved