A002762 Number of bipartite partitions. (Formerly M3362 N1354)

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

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. 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).

Links

Table of n, a(n) for n=0..37.

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 := 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

Crossrefs

Sequence in context: A287143 A238641 A038415 * A361152 A009911 A009887

Adjacent sequences: A002759 A002760 A002761 * A002763 A002764 A002765

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 14 2014

Status

approved