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A185209 Triangle read by rows: T(n,k) is the number of indecomposable (connected) permutations of {1,2,...,n} having genus k (see first comment for definition of genus).

Table of values

n a(n)
1 1
2 1
3 0
4 2
5 1
6 0
7 5
8 8
9 0
10 0
11 14
12 49
13 8
14 0
15 0
16 42
17 268
18 151
19 0
20 0
21 0
22 132
23 1375
24 1760
25 180
26 0
27 0
28 0
29 429
30 6768
31 16184
32 5712
33 0
34 0
35 0
36 0
37 1430
38 32354
39 128578
40 102917
41 8064
42 0
43 0
44 0
45 0
46 4862
47 151336
48 923799
49 1379384
50 369944
51 0
52 0
53 0
54 0
55 0
56 16796
57 696027
58 6164460
59 15283308
60 9233512
61 604800
62 0

List of values

[1, 1, 0, 2, 1, 0, 5, 8, 0, 0, 14, 49, 8, 0, 0, 42, 268, 151, 0, 0, 0, 132, 1375, 1760, 180, 0, 0, 0, 429, 6768, 16184, 5712, 0, 0, 0, 0, 1430, 32354, 128578, 102917, 8064, 0, 0, 0, 0, 4862, 151336, 923799, 1379384, 369944, 0, 0, 0, 0, 0, 16796, 696027, 6164460, 15283308, 9233512, 604800, 0]