A297704 - cp's OEIS frontend

A297704 Triangle read by rows, T(n,k) = binomial(n, k)*hypergeom2F1(k - n, n + 1, k + 2, -2) for n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	3
2	1
3	15
4	6
5	1
6	93
7	39
8	9
9	1
10	645
11	276
12	72
13	12
14	1
15	4791
16	2073
17	576
18	114
19	15
20	1
21	37275
22	16242
23	4689
24	1020
25	165
26	18
27	1
28	299865
29	131295
30	38889
31	8979
32	1635
33	225
34	21
35	1
36	2474025
37	1087080
38	327960
39	78888
40	15510
41	2448
42	294
43	24
44	1

[1, 3, 1, 15, 6, 1, 93, 39, 9, 1, 645, 276, 72, 12, 1, 4791, 2073, 576, 114, 15, 1, 37275, 16242, 4689, 1020, 165, 18, 1, 299865, 131295, 38889, 8979, 1635, 225, 21, 1, 2474025, 1087080, 327960, 78888, 15510, 2448, 294, 24, 1]

cp's OEIS Frontend

A297704 Triangle read by rows, T(n,k) = binomial(n, k)*hypergeom2F1(k - n, n + 1, k + 2, -2) for n >= 0 and 0 <= k <= n.

Table of values

List of values