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A306234 Number T(n,k) of occurrences of k in a (signed) displacement set of a permutation of [n] divided by |k|!; triangle T(n,k), n>=1, 1-n<=k<=n-1, read by rows.

Table of values

n a(n)
1 1
2 1
3 1
4 1
5 1
6 3
7 4
8 3
9 1
10 1
11 5
12 13
13 15
14 13
15 5
16 1
17 1
18 7
19 28
20 67
21 76
22 67
23 28
24 7
25 1
26 1
27 9
28 49
29 179
30 411
31 455
32 411
33 179
34 49
35 9
36 1
37 1
38 11
39 76
40 375
41 1306
42 2921
43 3186
44 2921
45 1306
46 375
47 76
48 11
49 1
50 1
51 13
52 109
53 679
54 3181
55 10757
56 23633
57 25487
58 23633
59 10757
60 3181
61 679
62 109
63 13
64 1

List of values

[1, 1, 1, 1, 1, 3, 4, 3, 1, 1, 5, 13, 15, 13, 5, 1, 1, 7, 28, 67, 76, 67, 28, 7, 1, 1, 9, 49, 179, 411, 455, 411, 179, 49, 9, 1, 1, 11, 76, 375, 1306, 2921, 3186, 2921, 1306, 375, 76, 11, 1, 1, 13, 109, 679, 3181, 10757, 23633, 25487, 23633, 10757, 3181, 679, 109, 13, 1]