Triangle read by rows: T(n, k) = k*(n - k)*binomial(2*n+2, 2*k+1)/(4*n + 2) for 1 <= k <= n-1.

Terms

a(0) =2a(1) =8a(2) =8a(3) =20a(4) =56a(5) =20a(6) =40a(7) =216a(8) =216a(9) =40a(10) =70a(11) =616a(12) =1188a(13) =616a(14) =70a(15) =112a(16) =1456a(17) =4576a(18) =4576a(19) =1456a(20) =112a(21) =168a(22) =3024a(23) =14040a(24) =22880a(25) =14040a(26) =3024a(27) =168a(28) =240a(29) =5712