Triangle T(n,m) = C(2*m-1,m)*C(n+2*m-1,n-m).

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =3a(5) =3a(6) =0a(7) =6a(8) =18a(9) =10a(10) =0a(11) =10a(12) =63a(13) =90a(14) =35a(15) =0a(16) =15a(17) =168a(18) =450a(19) =420a(20) =126a(21) =0a(22) =21a(23) =378a(24) =1650a(25) =2730a(26) =1890a(27) =462a(28) =0a(29) =28