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

A337994

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

Terms

    a(0) =1a(1) =0a(2) =2a(3) =0a(4) =3a(5) =15a(6) =0a(7) =6a(8) =30a(9) =84a(10) =0a(11) =14a(12) =70a(13) =196a(14) =420a(15) =0a(16) =36a(17) =180a(18) =504a(19) =1080a(20) =1980a(21) =0a(22) =99a(23) =495a(24) =1386a(25) =2970a(26) =5445a(27) =9009a(28) =0a(29) =286

External references