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

A362019

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

Terms

    a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =1a(8) =3a(9) =-1a(10) =1a(11) =2a(12) =13a(13) =17a(14) =1a(15) =1a(16) =3a(17) =31a(18) =173a(19) =169a(20) =-1a(21) =1a(22) =4a(23) =57a(24) =629a(25) =3321a(26) =2079a(27) =1a(28) =1a(29) =5

External references