Array T(n,m) = 2*(2m+3)!*(4n+2m+1)!/(m!*(m+2)!*n!*(3n+2m+3)!) read by antidiagonals.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =5a(6) =13a(7) =20a(8) =21a(9) =14a(10) =68a(11) =100a(12) =105a(13) =84a(14) =42a(15) =399a(16) =570a(17) =595a(18) =504a(19) =330a(20) =132a(21) =2530a(22) =3542a(23) =3675a(24) =3192a(25) =2310a(26) =1287a(27) =429a(28) =16965a(29) =23400