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+3*r+k,n)/(n+3*r+k) for k > 0.

A378237

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+3*r+k,n)/(n+3*r+k) for k > 0.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =0a(6) =1a(7) =4a(8) =10a(9) =0a(10) =1a(11) =6a(12) =24a(13) =74a(14) =0a(15) =1a(16) =8a(17) =42a(18) =188a(19) =642a(20) =0a(21) =1a(22) =10a(23) =64a(24) =350a(25) =1680a(26) =6082a(27) =0a(28) =1a(29) =12

External references