A(n,k) = (1/k!) * Sum_{i_1=1..n} Sum_{i_2=1..n} ... Sum_{i_k=1..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.
A308356
A(n,k) = (1/k!) * Sum_{i_1=1..n} Sum_{i_2=1..n} ... Sum_{i_k=1..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) =0a(2) =1a(3) =0a(4) =-1a(5) =1a(6) =0a(7) =1a(8) =0a(9) =1a(10) =0a(11) =-1a(12) =1a(13) =-1a(14) =1a(15) =0a(16) =1a(17) =5a(18) =5a(19) =0a(20) =1a(21) =0a(22) =-1a(23) =36a(24) =-120a(25) =15a(26) =-1a(27) =1a(28) =0a(29) =1
External references
- oeis: A308356