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A002762
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Number of bipartite partitions.
(Formerly M3362 N1354)
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0
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4, 9, 21, 40, 74, 125, 209, 330, 515, 778, 1160, 1690, 2439, 3457, 4857, 6735, 9264, 12607, 17040, 22826, 30391, 40165, 52788, 68938, 89589, 115778, 148957, 190714, 243184, 308746, 390539, 492071, 617900, 773175, 964443, 1199168, 1486724, 1837806
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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 := 40:
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, 6, 2), x, nmax+1), y, 7), y, 6), 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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