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A200965 Triangle T(n,k) = coefficient of x^n in expansion of ((1-sqrt(1-4*x))/((1-x)*2))^k = sum(n>=k, T(n,k) * x^n).

Table of values

n a(n)
1 1
2 2
3 1
4 4
5 4
6 1
7 9
8 12
9 6
10 1
11 23
12 34
13 24
14 8
15 1
16 65
17 98
18 83
19 40
20 10
21 1
22 197
23 294
24 273
25 164
26 60
27 12
28 1
29 626
30 919
31 891
32 612
33 285
34 84
35 14
36 1
37 2056
38 2974
39 2938
40 2188
41 1195
42 454
43 112
44 16
45 1
46 6918
47 9891
48 9846
49 7698
50 4677
51 2118
52 679
53 144
54 18
55 1
56 23714
57 33604
58 33549

List of values

[1, 2, 1, 4, 4, 1, 9, 12, 6, 1, 23, 34, 24, 8, 1, 65, 98, 83, 40, 10, 1, 197, 294, 273, 164, 60, 12, 1, 626, 919, 891, 612, 285, 84, 14, 1, 2056, 2974, 2938, 2188, 1195, 454, 112, 16, 1, 6918, 9891, 9846, 7698, 4677, 2118, 679, 144, 18, 1, 23714, 33604, 33549]