A328807 - cp's OEIS frontend

A328807 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{i=0..n} binomial(n,i)*Sum_{j=0..i} binomial(i,j)^k.

n	a(n)
0	1
1	1
2	3
3	1
4	3
5	8
6	1
7	3
8	9
9	20
10	1
11	3
12	11
13	27
14	48
15	1
16	3
17	15
18	45
19	81
20	112
21	1
22	3
23	23
24	93
25	195
26	243
27	256
28	1
29	3
30	39
31	225
32	639
33	873
34	729
35	576
36	1
37	3
38	71
39	597
40	2583
41	4653
42	3989
43	2187
44	1280
45	1
46	3
47	135
48	1665
49	11991
50	32133
51	35169
52	18483
53	6561
54	2816

[1, 1, 3, 1, 3, 8, 1, 3, 9, 20, 1, 3, 11, 27, 48, 1, 3, 15, 45, 81, 112, 1, 3, 23, 93, 195, 243, 256, 1, 3, 39, 225, 639, 873, 729, 576, 1, 3, 71, 597, 2583, 4653, 3989, 2187, 1280, 1, 3, 135, 1665, 11991, 32133, 35169, 18483, 6561, 2816]

cp's OEIS Frontend

A328807 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is Sum_{i=0..n} binomial(n,i)*Sum_{j=0..i} binomial(i,j)^k.

Table of values

List of values