A297899 - cp's OEIS frontend

A297899 Triangle read by rows, T(n, k) = binomial(n, k)*hypergeom([k-n, n+1], [k+2], -4), for n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	5
2	1
3	45
4	10
5	1
6	505
7	115
8	15
9	1
10	6345
11	1460
12	210
13	20
14	1
15	85405
16	19765
17	2990
18	330
19	25
20	1
21	1204245
22	279710
23	43635
24	5220
25	475
26	30
27	1
28	17558705
29	4088615
30	651165
31	81955
32	8275
33	645
34	35
35	1
36	262577745
37	61254760
38	9901860
39	1290520
40	139350
41	12280
42	840
43	40
44	1

[1, 5, 1, 45, 10, 1, 505, 115, 15, 1, 6345, 1460, 210, 20, 1, 85405, 19765, 2990, 330, 25, 1, 1204245, 279710, 43635, 5220, 475, 30, 1, 17558705, 4088615, 651165, 81955, 8275, 645, 35, 1, 262577745, 61254760, 9901860, 1290520, 139350, 12280, 840, 40, 1]

cp's OEIS Frontend

A297899 Triangle read by rows, T(n, k) = binomial(n, k)*hypergeom([k-n, n+1], [k+2], -4), for n >= 0 and 0 <= k <= n.

Table of values

List of values