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A162206 Triangle read by rows in which row n (n >= 1) gives coefficients in expansion of the polynomial f(n) * Product_{i=1..n-1} f(2i), where f(k) = (1 - x^k)/(1-x).

Table of values

n a(n)
1 1
2 1
3 2
4 1
5 1
6 3
7 5
8 6
9 5
10 3
11 1
12 1
13 4
14 9
15 16
16 23
17 28
18 30
19 28
20 23
21 16
22 9
23 4
24 1
25 1
26 5
27 14
28 30
29 54
30 85
31 120
32 155
33 185
34 205
35 212
36 205
37 185
38 155
39 120
40 85
41 54
42 30
43 14
44 5
45 1
46 1
47 6
48 20
49 50
50 104
51 190
52 314
53 478
54 679
55 908
56 1151
57 1390
58 1605
59 1776
60 1886
61 1924
62 1886
63 1776

List of values

[1, 1, 2, 1, 1, 3, 5, 6, 5, 3, 1, 1, 4, 9, 16, 23, 28, 30, 28, 23, 16, 9, 4, 1, 1, 5, 14, 30, 54, 85, 120, 155, 185, 205, 212, 205, 185, 155, 120, 85, 54, 30, 14, 5, 1, 1, 6, 20, 50, 104, 190, 314, 478, 679, 908, 1151, 1390, 1605, 1776, 1886, 1924, 1886, 1776]