A378317 - cp's OEIS frontend

A378317 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2r+k,n)/(2r+k) for k > 0.

n	a(n)
0	1
1	1
2	0
3	1
4	2
5	0
6	1
7	4
8	4
9	0
10	1
11	6
12	12
13	12
14	0
15	1
16	8
17	24
18	40
19	40
20	0
21	1
22	10
23	40
24	92
25	144
26	144
27	0
28	1
29	12
30	60
31	176
32	360
33	544
34	544
35	0
36	1
37	14
38	84
39	300
40	752
41	1440
42	2128
43	2128
44	0
45	1
46	16
47	112
48	472
49	1400
50	3200
51	5872
52	8544
53	8544
54	0
55	1
56	18
57	144
58	700
59	2400
60	6352
61	13664
62	24336
63	35008
64	35008
65	0

[1, 1, 0, 1, 2, 0, 1, 4, 4, 0, 1, 6, 12, 12, 0, 1, 8, 24, 40, 40, 0, 1, 10, 40, 92, 144, 144, 0, 1, 12, 60, 176, 360, 544, 544, 0, 1, 14, 84, 300, 752, 1440, 2128, 2128, 0, 1, 16, 112, 472, 1400, 3200, 5872, 8544, 8544, 0, 1, 18, 144, 700, 2400, 6352, 13664, 24336, 35008, 35008, 0]

cp's OEIS Frontend

A378317 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2r+k,n)/(2r+k) for k > 0.

Table of values

List of values

cp's OEIS Frontend

A378317 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2*r+k,n)/(2*r+k) for k > 0.

Table of values

List of values

A378317 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(n,r) * binomial(2r+k,n)/(2r+k) for k > 0.