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

A322699

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

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =0a(6) =0a(7) =8a(8) =2a(9) =0a(10) =0a(11) =49a(12) =24a(13) =3a(14) =0a(15) =0a(16) =288a(17) =242a(18) =48a(19) =4a(20) =0a(21) =0a(22) =1681a(23) =2400a(24) =675a(25) =80a(26) =5a(27) =0a(28) =0a(29) =9800

External references