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A002764
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Number of bipartite partitions.
(Formerly M4359 N1827)
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0
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7, 18, 44, 88, 169, 296, 507, 824, 1314, 2029, 3083, 4578, 6714, 9676, 13795, 19408, 27053, 37302, 51029, 69180, 93139, 124447, 165259, 218021, 286068, 373207, 484512, 625845, 804840, 1030369, 1313823, 1668466, 2111101, 2661365, 3343811, 4187191
(list;
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listen;
history;
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OFFSET
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0,1
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REFERENCES
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M. S. Cheema and H. Gupta, Tables of Partitions of Gaussian Integers. National Institute of Sciences of India, Mathematical Tables, Vol. 1, New Delhi, 1956, p. 11.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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MAPLE
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nmax := 35:
gf := (n, m, k) -> 1/(product(product(1-x^r*y^t, t=k..m), r=0..n) * product(1-x^s, s=1..n)):
seq(coeff(coeff(series(series(gf(nmax, 8, 2), x, nmax+1), y, 9), y, 8), x, n), n=0..nmax); # Sean A. Irvine, Aug 14 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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