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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =1a(7) =7a(8) =11a(9) =5a(10) =1a(11) =13a(12) =36a(13) =37a(14) =13a(15) =1a(16) =21a(17) =92a(18) =160a(19) =123a(20) =35a(21) =1a(22) =31a(23) =200a(24) =520a(25) =655a(26) =401a(27) =96a(28) =1a(29) =43