Stirling-like sequence obtained from bipartite 0-1 tableaux.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =4a(8) =4a(9) =1a(10) =0a(11) =36a(12) =33a(13) =10a(14) =1a(15) =0a(16) =576a(17) =480a(18) =148a(19) =20a(20) =1a(21) =0a(22) =14400a(23) =10960a(24) =3281a(25) =483a(26) =35a(27) =1a(28) =0a(29) =518400