A002766 Number of bipartite partitions. (Formerly M3387 N1367)

4, 10, 23, 45, 83, 142, 237, 377, 588, 892, 1330, 1943, 2804, 3982, 5595, 7768, 10686, 14555, 19674, 26371, 35112, 46424, 61015, 79705, 103579, 133883, 172243, 220551, 281212, 357043, 451592, 568997, 714424, 893921, 1114930, 1386187

Offset

1,1

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. 19.

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

Table of n, a(n) for n=1..36.

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. (Annotated scanned pages from, plus a review)

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, 9, 3), x, nmax+1), y, 10), y, 9), x, n), n=0..nmax); # Sean A. Irvine, Aug 14 2014

Crossrefs

Sequence in context: A002071 A375749 A024980 * A305102 A008268 A084446

Adjacent sequences: A002763 A002764 A002765 * A002767 A002768 A002769

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 14 2014

Status

approved