A002765 Number of bipartite partitions. (Formerly M4495 N1902)

8, 23, 57, 119, 231, 415, 719, 1189, 1915, 2997, 4595, 6898, 10198, 14833, 21303, 30211, 42393, 58869, 81028, 110551, 149683, 201160, 268539, 356167, 469630, 615712, 803029, 1042051, 1345896, 1730473, 2215561, 2825037, 3588364, 4541036

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..33.

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

Crossrefs

Sequence in context: A372674 A358246 A048467 * A048770 A055273 A296323

Adjacent sequences: A002762 A002763 A002764 * A002766 A002767 A002768

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 14 2014

Status

approved