Triangle read by rows: T(n,m)= Sum_{k=0..m/2} C(n-k,m-2*k)*C(n-k,m-k)*C(n,k)/C(2*k,k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =2a(6) =1a(7) =9a(8) =12a(9) =4a(10) =1a(11) =16a(12) =42a(13) =34a(14) =8a(15) =1a(16) =25a(17) =110a(18) =160a(19) =90a(20) =16a(21) =1a(22) =36a(23) =240a(24) =550a(25) =540a(26) =226a(27) =32a(28) =1a(29) =49