A378061 - cp's OEIS frontend

A378061 Triangle read by rows: T(n, k) = binomial(n + 1, (n - k)/2)^2*(k + 1)/(n + 1) if n - k is even, otherwise 0.

n	a(n)
0	1
1	0
2	1
3	3
4	0
5	1
6	0
7	8
8	0
9	1
10	20
11	0
12	15
13	0
14	1
15	0
16	75
17	0
18	24
19	0
20	1
21	175
22	0
23	189
24	0
25	35
26	0
27	1
28	0
29	784
30	0
31	392
32	0
33	48
34	0
35	1
36	1764
37	0
38	2352
39	0
40	720
41	0
42	63
43	0
44	1
45	0
46	8820
47	0
48	5760
49	0
50	1215
51	0
52	80
53	0
54	1
55	19404
56	0
57	29700
58	0
59	12375
60	0
61	1925
62	0
63	99
64	0
65	1

[1, 0, 1, 3, 0, 1, 0, 8, 0, 1, 20, 0, 15, 0, 1, 0, 75, 0, 24, 0, 1, 175, 0, 189, 0, 35, 0, 1, 0, 784, 0, 392, 0, 48, 0, 1, 1764, 0, 2352, 0, 720, 0, 63, 0, 1, 0, 8820, 0, 5760, 0, 1215, 0, 80, 0, 1, 19404, 0, 29700, 0, 12375, 0, 1925, 0, 99, 0, 1]

cp's OEIS Frontend

A378061 Triangle read by rows: T(n, k) = binomial(n + 1, (n - k)/2)^2*(k + 1)/(n + 1) if n - k is even, otherwise 0.

Table of values

List of values