Array T(n, k) = Sum_{j=2..n+2} (-1)^(n-j)*Stirling2(n+1, j-1)*j!*j^k/2, for n and k >= 0, read by antidiagonals.

A347940

Array T(n, k) = Sum_{j=2..n+2} (-1)^(n-j)*Stirling2(n+1, j-1)*j!*j^k/2, for n and k >= 0, read by antidiagonals.

Terms

    a(0) =1a(1) =2a(2) =2a(3) =4a(4) =7a(5) =4a(6) =8a(7) =23a(8) =23a(9) =8a(10) =16a(11) =73a(12) =115a(13) =73a(14) =16a(15) =32a(16) =227a(17) =533a(18) =533a(19) =227a(20) =32a(21) =64a(22) =697a(23) =2359a(24) =3451a(25) =2359a(26) =697a(27) =64a(28) =128a(29) =2123

External references