A308322 - cp's OEIS frontend

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.

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	1
7	1
8	1
9	1
10	1
11	-2
12	3
13	0
14	1
15	1
16	9
17	37
18	9
19	1
20	1
21	1
22	-44
23	997
24	-692
25	31
26	0
27	1
28	1
29	265
30	44121
31	148041
32	14371
33	111
34	1
35	1
36	1
37	-1854
38	2882071
39	-66211704
40	25413205
41	-315002
42	407
43	0
44	1
45	1
46	14833
47	260415373
48	53414037505
49	120965241901
50	4744544613
51	7156969
52	1513
53	1
54	1

[1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, -2, 3, 0, 1, 1, 9, 37, 9, 1, 1, 1, -44, 997, -692, 31, 0, 1, 1, 265, 44121, 148041, 14371, 111, 1, 1, 1, -1854, 2882071, -66211704, 25413205, -315002, 407, 0, 1, 1, 14833, 260415373, 53414037505, 120965241901, 4744544613, 7156969, 1513, 1, 1]

cp's OEIS Frontend

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.

Table of values

List of values