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

Terms

a(0) =1a(1) =1a(2) =4a(3) =4a(4) =15a(5) =18a(6) =3a(7) =56a(8) =80a(9) =24a(10) =210a(11) =350a(12) =150a(13) =10a(14) =792a(15) =1512a(16) =840a(17) =120a(18) =3003a(19) =6468a(20) =4410a(21) =980a(22) =35a(23) =11440a(24) =27456a(25) =22176a(26) =6720a(27) =560a(28) =43758a(29) =115830