A323767 - cp's OEIS frontend

A323767 A(n,k) = Sum_{j=0..floor(n/2)} binomial(n-j,j)^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	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	3
14	3
15	1
16	1
17	2
18	5
19	5
20	3
21	1
22	1
23	2
24	9
25	11
26	8
27	4
28	1
29	1
30	2
31	17
32	29
33	26
34	13
35	4
36	1
37	1
38	2
39	33
40	83
41	92
42	63
43	21
44	5
45	1
46	1
47	2
48	65
49	245
50	338
51	343
52	153
53	34
54	5
55	1
56	1
57	2
58	129
59	731
60	1268
61	1923
62	1281
63	376
64	55
65	6

[1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 3, 1, 1, 2, 5, 5, 3, 1, 1, 2, 9, 11, 8, 4, 1, 1, 2, 17, 29, 26, 13, 4, 1, 1, 2, 33, 83, 92, 63, 21, 5, 1, 1, 2, 65, 245, 338, 343, 153, 34, 5, 1, 1, 2, 129, 731, 1268, 1923, 1281, 376, 55, 6]

cp's OEIS Frontend

A323767 A(n,k) = Sum_{j=0..floor(n/2)} binomial(n-j,j)^k, square array A(n,k) read by antidiagonals, for n >= 0, k >= 0.

Table of values

List of values