Triangle read by rows: T(n,k) = binomial(k,n-k)*binomial(n+2*k,n+k) /(n+k+1), n>=0, 0<=k<=n.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =3a(6) =0a(7) =0a(8) =7a(9) =12a(10) =0a(11) =0a(12) =4a(13) =45a(14) =55a(15) =0a(16) =0a(17) =0a(18) =55a(19) =286a(20) =273a(21) =0a(22) =0a(23) =0a(24) =22a(25) =546a(26) =1820a(27) =1428a(28) =0a(29) =0