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A249790 Triangle in which row n lists the coefficients in Product_{k=1..n} (1 + k*x + x^2), for n>=0, as read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 3
6 4
7 3
8 1
9 1
10 6
11 14
12 18
13 14
14 6
15 1
16 1
17 10
18 39
19 80
20 100
21 80
22 39
23 10
24 1
25 1
26 15
27 90
28 285
29 539
30 660
31 539
32 285
33 90
34 15
35 1
36 1
37 21
38 181
39 840
40 2339
41 4179
42 5038
43 4179
44 2339
45 840
46 181
47 21
48 1
49 1
50 28
51 329
52 2128
53 8400
54 21392
55 36630
56 43624
57 36630
58 21392
59 8400
60 2128
61 329
62 28
63 1
64 1
65 36
66 554
67 4788
68 25753
69 90720
70 216166
71 358056
72 422252

List of values

[1, 1, 1, 1, 1, 3, 4, 3, 1, 1, 6, 14, 18, 14, 6, 1, 1, 10, 39, 80, 100, 80, 39, 10, 1, 1, 15, 90, 285, 539, 660, 539, 285, 90, 15, 1, 1, 21, 181, 840, 2339, 4179, 5038, 4179, 2339, 840, 181, 21, 1, 1, 28, 329, 2128, 8400, 21392, 36630, 43624, 36630, 21392, 8400, 2128, 329, 28, 1, 1, 36, 554, 4788, 25753, 90720, 216166, 358056, 422252]