A002767 Number of bipartite partitions. (Formerly M3820 N1564)

5, 12, 28, 54, 100, 170, 284, 450, 702, 1062, 1583, 2308, 3329, 4720, 6628, 9190, 12634, 17189, 23219, 31092, 41371, 54651, 71782, 93695, 121684, 157169, 202080, 258579, 329509, 418096, 528518, 665521, 835170, 1044408, 1301949, 1617830

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. 26.

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..35.

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, 12, 4), x, nmax+1), y, 13), y, 12), x, n), n=0..nmax); # Sean A. Irvine, Aug 15 2014

Crossrefs

Sequence in context: A162778 A160807 A038376 * A055245 A196410 A000465

Adjacent sequences: A002764 A002765 A002766 * A002768 A002769 A002770

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 15 2014

Status

approved