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A184883 Number triangle T(n,k) = [k<=n]*Hypergeometric2F1([-k, 2k-2n], [1], 2).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 5
5 1
6 1
7 9
8 13
9 1
10 1
11 13
12 41
13 25
14 1
15 1
16 17
17 85
18 129
19 41
20 1
21 1
22 21
23 145
24 377
25 321
26 61
27 1
28 1
29 25
30 221
31 833
32 1289
33 681
34 85
35 1
36 1
37 29
38 313
39 1561
40 3649
41 3653
42 1289
43 113
44 1
45 1
46 33
47 421
48 2625
49 8361
50 13073
51 8989
52 2241
53 145
54 1
55 1
56 37
57 545
58 4089
59 16641
60 36365
61 40081
62 19825
63 3649
64 181
65 1

List of values

[1, 1, 1, 1, 5, 1, 1, 9, 13, 1, 1, 13, 41, 25, 1, 1, 17, 85, 129, 41, 1, 1, 21, 145, 377, 321, 61, 1, 1, 25, 221, 833, 1289, 681, 85, 1, 1, 29, 313, 1561, 3649, 3653, 1289, 113, 1, 1, 33, 421, 2625, 8361, 13073, 8989, 2241, 145, 1, 1, 37, 545, 4089, 16641, 36365, 40081, 19825, 3649, 181, 1]