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A002768 Number of bipartite partitions.
(Formerly M3831 N1571)
0
5, 13, 30, 59, 109, 187, 312, 497, 775, 1176, 1753, 2561, 3694, 5245, 7366, 10223, 14056, 19137, 25853, 34637, 46092, 60910, 80009, 104462, 135674, 175274 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
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. 32.
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).
LINKS
MAPLE
nmax := 20:
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, 15, 5), x, nmax+1), y, 16), y, 15), x, n), n=0..nmax); # Sean A. Irvine, Aug 15 2014
CROSSREFS
Sequence in context: A085555 A224888 A256314 * A354292 A086522 A234372
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified February 24 17:27 EST 2024. Contains 370307 sequences. (Running on oeis4.)