%I M3362 N1354 #22 Oct 20 2023 10:05:18
%S 4,9,21,40,74,125,209,330,515,778,1160,1690,2439,3457,4857,6735,9264,
%T 12607,17040,22826,30391,40165,52788,68938,89589,115778,148957,190714,
%U 243184,308746,390539,492071,617900,773175,964443,1199168,1486724,1837806
%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 := 40:
%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, 6, 2), x, nmax+1), y, 7), y, 6), 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