%I M3387 N1367 #19 Oct 20 2023 10:07:33
%S 4,10,23,45,83,142,237,377,588,892,1330,1943,2804,3982,5595,7768,
%T 10686,14555,19674,26371,35112,46424,61015,79705,103579,133883,172243,
%U 220551,281212,357043,451592,568997,714424,893921,1114930,1386187
%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. 19.
%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 := 20:
%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, 9, 3), x, nmax+1), y, 10), y, 9), x, n), n=0..nmax); # _Sean A. Irvine_, Aug 14 2014
%K nonn,more
%O 1,1
%A _N. J. A. Sloane_
%E More terms from _Sean A. Irvine_, Aug 14 2014