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A177375 Triangle t(n,k): the coefficient [x^k] of the series (1+x)^n + 2*n*x*(1+x)^(n-2), in row n, column k.

Table of values

n a(n)
0 1
1 1
2 3
3 1
4 6
5 1
6 1
7 9
8 9
9 1
10 1
11 12
12 22
13 12
14 1
15 1
16 15
17 40
18 40
19 15
20 1
21 1
22 18
23 63
24 92
25 63
26 18
27 1
28 1
29 21
30 91
31 175
32 175
33 91
34 21
35 1
36 1
37 24
38 124
39 296
40 390
41 296
42 124
43 24
44 1
45 1
46 27
47 162
48 462
49 756
50 756
51 462
52 162
53 27
54 1
55 1
56 30
57 205
58 680
59 1330
60 1652
61 1330
62 680
63 205
64 30
65 1

List of values

[1, 1, 3, 1, 6, 1, 1, 9, 9, 1, 1, 12, 22, 12, 1, 1, 15, 40, 40, 15, 1, 1, 18, 63, 92, 63, 18, 1, 1, 21, 91, 175, 175, 91, 21, 1, 1, 24, 124, 296, 390, 296, 124, 24, 1, 1, 27, 162, 462, 756, 756, 462, 162, 27, 1, 1, 30, 205, 680, 1330, 1652, 1330, 680, 205, 30, 1]