A(n,k) = Sum_{i_1=0..n} Sum_{i_2=0..n} ... Sum_{i_k=0..n} (-1)^(i_1 + i_2 + ... + i_k) * multinomial(i_1 + i_2 + ... + i_k; i_1, i_2, ..., i_k), square array A(n,k) read by antidiagonals, for n >= 0, k >= 0.
A308322
A(n,k) = Sum_{i_1=0..n} Sum_{i_2=0..n} ... Sum_{i_k=0..n} (-1)^(i_1 + i_2 + ... + i_k) * multinomial(i_1 + i_2 + ... + i_k; i_1, i_2, ..., i_k), square array A(n,k) read by antidiagonals, for n >= 0, k >= 0.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =1a(8) =1a(9) =1a(10) =1a(11) =-2a(12) =3a(13) =0a(14) =1a(15) =1a(16) =9a(17) =37a(18) =9a(19) =1a(20) =1a(21) =1a(22) =-44a(23) =997a(24) =-692a(25) =31a(26) =0a(27) =1a(28) =1a(29) =265
External references
- oeis: A308322