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A359363 Triangle read by rows. The coefficients of the Baxter polynomials p(0, x) = 1 and p(n, x) = x*hypergeom([-1 - n, -n, 1 - n], [2, 3], -x) for n >= 1.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 1
6 0
7 1
8 4
9 1
10 0
11 1
12 10
13 10
14 1
15 0
16 1
17 20
18 50
19 20
20 1
21 0
22 1
23 35
24 175
25 175
26 35
27 1
28 0
29 1
30 56
31 490
32 980
33 490
34 56
35 1
36 0
37 1
38 84
39 1176
40 4116
41 4116
42 1176
43 84
44 1
45 0
46 1
47 120
48 2520
49 14112
50 24696
51 14112
52 2520
53 120
54 1
55 0
56 1
57 165
58 4950
59 41580
60 116424
61 116424
62 41580
63 4950
64 165
65 1

List of values

[1, 0, 1, 0, 1, 1, 0, 1, 4, 1, 0, 1, 10, 10, 1, 0, 1, 20, 50, 20, 1, 0, 1, 35, 175, 175, 35, 1, 0, 1, 56, 490, 980, 490, 56, 1, 0, 1, 84, 1176, 4116, 4116, 1176, 84, 1, 0, 1, 120, 2520, 14112, 24696, 14112, 2520, 120, 1, 0, 1, 165, 4950, 41580, 116424, 116424, 41580, 4950, 165, 1]