A328748 - cp's OEIS frontend

A328748 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{i=0..n} (-2)^(n-i)binomial(n,i)Sum_{j=0..i} binomial(i,j)^k.

n	a(n)
0	1
1	1
2	0
3	1
4	0
5	-1
6	1
7	0
8	0
9	2
10	1
11	0
12	2
13	0
14	-3
15	1
16	0
17	6
18	0
19	0
20	4
21	1
22	0
23	14
24	12
25	6
26	0
27	-5
28	1
29	0
30	30
31	72
32	90
33	0
34	0
35	6
36	1
37	0
38	62
39	300
40	882
41	360
42	20
43	0
44	-7
45	1
46	0
47	126
48	1080
49	6690
50	8400
51	2040
52	0
53	0
54	8
55	1
56	0
57	254
58	3612
59	44706
60	124920
61	95180
62	10080
63	70
64	0
65	-9

[1, 1, 0, 1, 0, -1, 1, 0, 0, 2, 1, 0, 2, 0, -3, 1, 0, 6, 0, 0, 4, 1, 0, 14, 12, 6, 0, -5, 1, 0, 30, 72, 90, 0, 0, 6, 1, 0, 62, 300, 882, 360, 20, 0, -7, 1, 0, 126, 1080, 6690, 8400, 2040, 0, 0, 8, 1, 0, 254, 3612, 44706, 124920, 95180, 10080, 70, 0, -9]

cp's OEIS Frontend

A328748 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{i=0..n} (-2)^(n-i)binomial(n,i)Sum_{j=0..i} binomial(i,j)^k.

Table of values

List of values

cp's OEIS Frontend

A328748 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{i=0..n} (-2)^(n-i)*binomial(n,i)*Sum_{j=0..i} binomial(i,j)^k.

Table of values

List of values

A328748 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{i=0..n} (-2)^(n-i)binomial(n,i)Sum_{j=0..i} binomial(i,j)^k.