Triangle, read by rows, T(n,k) = k*Sum_{i=0..n-k} C(2*i+2*k,i)*C(n-i-1,k-1)/(i+k) for 1 <= k <= n.

Terms

a(0) =1a(1) =3a(2) =1a(3) =8a(4) =6a(5) =1a(6) =22a(7) =25a(8) =9a(9) =1a(10) =64a(11) =92a(12) =51a(13) =12a(14) =1a(15) =196a(16) =324a(17) =237a(18) =86a(19) =15a(20) =1a(21) =625a(22) =1128a(23) =996a(24) =484a(25) =130a(26) =18a(27) =1a(28) =2055a(29) =3934