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A002765
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Number of bipartite partitions.
(Formerly M4495 N1902)
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0
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8, 23, 57, 119, 231, 415, 719, 1189, 1915, 2997, 4595, 6898, 10198, 14833, 21303, 30211, 42393, 58869, 81028, 110551, 149683, 201160, 268539, 356167, 469630, 615712, 803029, 1042051, 1345896, 1730473, 2215561, 2825037, 3588364, 4541036
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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, 9, 2), x, nmax+1), y, 10), y, 9), 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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