Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 2^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

A384362

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = Sum_{i=0..k*n} 2^i * Sum_{j=0..i} (-1)^j * binomial(i,j) * binomial(i-j,n)^k.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =10a(8) =4a(9) =1a(10) =1a(11) =74a(12) =148a(13) =8a(14) =1a(15) =1a(16) =730a(17) =13540a(18) =2440a(19) =16a(20) =1a(21) =1a(22) =9002a(23) =2308756a(24) =3087368a(25) =42256a(26) =32a(27) =1a(28) =1a(29) =133210

External references