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A115991 Number triangle T(n,k) = Sum_{j=0..n} C(n-k,j-k)*C(j,n-j)*2^(n-j).

Table of values

n a(n)
0 1
1 1
2 1
3 5
4 3
5 1
6 13
7 9
8 5
9 1
10 49
11 31
12 17
13 7
14 1
15 161
16 105
17 61
18 29
19 9
20 1
21 581
22 371
23 217
24 111
25 45
26 11
27 1
28 2045
29 1313
30 781
31 417
32 189
33 65
34 13
35 1
36 7393
37 4719
38 2825
39 1551
40 753
41 303
42 89
43 15
44 1
45 26689
46 17041
47 10277
48 5757
49 2921
50 1289
51 461
52 117
53 17
54 1

List of values

[1, 1, 1, 5, 3, 1, 13, 9, 5, 1, 49, 31, 17, 7, 1, 161, 105, 61, 29, 9, 1, 581, 371, 217, 111, 45, 11, 1, 2045, 1313, 781, 417, 189, 65, 13, 1, 7393, 4719, 2825, 1551, 753, 303, 89, 15, 1, 26689, 17041, 10277, 5757, 2921, 1289, 461, 117, 17, 1]