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

A383341

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

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =3a(9) =6a(10) =1a(11) =1a(12) =4a(13) =11a(14) =24a(15) =1a(16) =1a(17) =5a(18) =16a(19) =53a(20) =120a(21) =1a(22) =1a(23) =6a(24) =21a(25) =88a(26) =309a(27) =720a(28) =1a(29) =1

External references