Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I M4359 N1827 #19 Oct 20 2023 10:06:05
%S 7,18,44,88,169,296,507,824,1314,2029,3083,4578,6714,9676,13795,19408,
%T 27053,37302,51029,69180,93139,124447,165259,218021,286068,373207,
%U 484512,625845,804840,1030369,1313823,1668466,2111101,2661365,3343811,4187191
%N Number of bipartite partitions.
%D 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.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H M. S. Cheema and H. Gupta, <a href="/A002755/a002755.pdf">Tables of Partitions of Gaussian Integers. National Institute of Sciences of India, Mathematical Tables, Vol. 1, New Delhi, 1956</a>. (Annotated scanned pages from, plus a review)
%p nmax := 35:
%p 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)):
%p 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
%K nonn
%O 0,1
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Aug 14 2014