Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(n+2*r+k,n)/(n+2*r+k) for k > 0.

A378236

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(n+2*r+k,n)/(n+2*r+k) for k > 0.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =0a(6) =1a(7) =4a(8) =8a(9) =0a(10) =1a(11) =6a(12) =20a(13) =44a(14) =0a(15) =1a(16) =8a(17) =36a(18) =120a(19) =280a(20) =0a(21) =1a(22) =10a(23) =56a(24) =236a(25) =800a(26) =1936a(27) =0a(28) =1a(29) =12

External references