A299500 - cp's OEIS frontend

A299500 Triangle read by rows, T(n,k) = [x^k] Sum_{k=0..n} p_{n,k}(x) where p_{n,k}(x) = x^(n-k)binomial(n,k)hypergeom([-k, k-n, k-n], [1, -n], 1/x), for 0 <= k <= n.

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	1
6	3
7	7
8	3
9	1
10	5
11	16
12	15
13	4
14	1
15	8
16	38
17	46
18	26
19	5
20	1
21	13
22	82
23	141
24	100
25	40
26	6
27	1
28	21
29	173
30	381
31	375
32	185
33	57
34	7
35	1
36	34
37	352
38	983
39	1216
40	820
41	308
42	77
43	8
44	1
45	55
46	701
47	2400
48	3704
49	3101
50	1575
51	476
52	100
53	9
54	1
55	89
56	1368
57	5646
58	10536
59	10885
60	6804
61	2758
62	696
63	126
64	10
65	1

[1, 1, 1, 2, 2, 1, 3, 7, 3, 1, 5, 16, 15, 4, 1, 8, 38, 46, 26, 5, 1, 13, 82, 141, 100, 40, 6, 1, 21, 173, 381, 375, 185, 57, 7, 1, 34, 352, 983, 1216, 820, 308, 77, 8, 1, 55, 701, 2400, 3704, 3101, 1575, 476, 100, 9, 1, 89, 1368, 5646, 10536, 10885, 6804, 2758, 696, 126, 10, 1]

cp's OEIS Frontend

A299500 Triangle read by rows, T(n,k) = [x^k] Sum_{k=0..n} p_{n,k}(x) where p_{n,k}(x) = x^(n-k)binomial(n,k)hypergeom([-k, k-n, k-n], [1, -n], 1/x), for 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A299500 Triangle read by rows, T(n,k) = [x^k] Sum_{k=0..n} p_{n,k}(x) where p_{n,k}(x) = x^(n-k)*binomial(n,k)*hypergeom([-k, k-n, k-n], [1, -n], 1/x), for 0 <= k <= n.

Table of values

List of values

A299500 Triangle read by rows, T(n,k) = [x^k] Sum_{k=0..n} p_{n,k}(x) where p_{n,k}(x) = x^(n-k)binomial(n,k)hypergeom([-k, k-n, k-n], [1, -n], 1/x), for 0 <= k <= n.