Array of T(n,m)=1*5*...*(4n-3)*3*7*...*(4m-1)*2^(n+m)/(n+m)! by antidiagonals.

Terms

a(0) =1a(1) =2a(2) =6a(3) =10a(4) =6a(5) =42a(6) =60a(7) =20a(8) =28a(9) =308a(10) =390a(11) =90a(12) =70a(13) =154a(14) =2310a(15) =2652a(16) =468a(17) =252a(18) =308a(19) =924a(20) =17556a(21) =18564a(22) =2652a(23) =1092a(24) =924a(25) =1540a(26) =5852a(27) =134596a(28) =132600a(29) =15912