A308356 - cp's OEIS frontend

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.

n	a(n)
0	1
1	0
2	1
3	0
4	-1
5	1
6	0
7	1
8	0
9	1
10	0
11	-1
12	1
13	-1
14	1
15	0
16	1
17	5
18	5
19	0
20	1
21	0
22	-1
23	36
24	-120
25	15
26	-1
27	1
28	0
29	1
30	329
31	6286
32	2380
33	56
34	0
35	1
36	0
37	-1
38	3655
39	-557991
40	1056496
41	-52556
42	203
43	-1
44	1
45	0
46	1
47	47844
48	74741031
49	1006985994
50	197741887
51	1192625
52	757
53	0
54	1

[1, 0, 1, 0, -1, 1, 0, 1, 0, 1, 0, -1, 1, -1, 1, 0, 1, 5, 5, 0, 1, 0, -1, 36, -120, 15, -1, 1, 0, 1, 329, 6286, 2380, 56, 0, 1, 0, -1, 3655, -557991, 1056496, -52556, 203, -1, 1, 0, 1, 47844, 74741031, 1006985994, 197741887, 1192625, 757, 0, 1]

cp's OEIS Frontend

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.

Table of values

List of values