A361432 - cp's OEIS frontend

A361432 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..floor(n/2)} k^(n-j) * binomial(n,2*j).

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	2
9	0
10	1
11	3
12	6
13	4
14	0
15	1
16	4
17	12
18	20
19	8
20	0
21	1
22	5
23	20
24	54
25	68
26	16
27	0
28	1
29	6
30	30
31	112
32	252
33	232
34	32
35	0
36	1
37	7
38	42
39	200
40	656
41	1188
42	792
43	64
44	0
45	1
46	8
47	56
48	324
49	1400
50	3904
51	5616
52	2704
53	128
54	0
55	1
56	9
57	72
58	490
59	2628
60	10000
61	23360
62	26568
63	9232
64	256
65	0

[1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 6, 4, 0, 1, 4, 12, 20, 8, 0, 1, 5, 20, 54, 68, 16, 0, 1, 6, 30, 112, 252, 232, 32, 0, 1, 7, 42, 200, 656, 1188, 792, 64, 0, 1, 8, 56, 324, 1400, 3904, 5616, 2704, 128, 0, 1, 9, 72, 490, 2628, 10000, 23360, 26568, 9232, 256, 0]

cp's OEIS Frontend

A361432 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..floor(n/2)} k^(n-j) * binomial(n,2*j).

Table of values

List of values