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(2*r+k,n)/(2*r+k) for k > 0.

A378317

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(2*r+k,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) =4a(9) =0a(10) =1a(11) =6a(12) =12a(13) =12a(14) =0a(15) =1a(16) =8a(17) =24a(18) =40a(19) =40a(20) =0a(21) =1a(22) =10a(23) =40a(24) =92a(25) =144a(26) =144a(27) =0a(28) =1a(29) =12

External references