Triangle T(n,m) = Sum_{k=1..m} C(2*m-k-1,m-k)*C(2*(2*m-k),n-2*m+k), n>0, m>0.

Terms

a(0) =1a(1) =2a(2) =1a(3) =1a(4) =6a(5) =1a(6) =0a(7) =18a(8) =9a(9) =1a(10) =0a(11) =34a(12) =45a(13) =12a(14) =1a(15) =0a(16) =41a(17) =164a(18) =78a(19) =15a(20) =1a(21) =0a(22) =30a(23) =453a(24) =376a(25) =120a(26) =18a(27) =1a(28) =0a(29) =12