A002764 - OEIS

A002764

Number of bipartite partitions.
(Formerly M4359 N1827)

7, 18, 44, 88, 169, 296, 507, 824, 1314, 2029, 3083, 4578, 6714, 9676, 13795, 19408, 27053, 37302, 51029, 69180, 93139, 124447, 165259, 218021, 286068, 373207, 484512, 625845, 804840, 1030369, 1313823, 1668466, 2111101, 2661365, 3343811, 4187191

(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. 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..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 := 35:

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, 8, 2), x, nmax+1), y, 9), y, 8), x, n), n=0..nmax); # Sean A. Irvine, Aug 14 2014

CROSSREFS

Sequence in context: A272459 A133673 A023166 * A124053 A356042 A324900

Adjacent sequences: A002761 A002762 A002763 * A002765 A002766 A002767

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, Aug 14 2014

STATUS

approved