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A186366 Triangle read by rows: T(n,k) is the number of cycle-up-down permutations of {1,2,...,n} having k cycles (1<=k<=n).

Table of values

n a(n)
1 1
2 1
3 1
4 1
5 3
6 1
7 2
8 7
9 6
10 1
11 5
12 20
13 25
14 10
15 1
16 16
17 70
18 105
19 65
20 15
21 1
22 61
23 287
24 490
25 385
26 140
27 21
28 1
29 272
30 1356
31 2548
32 2345
33 1120
34 266
35 28
36 1
37 1385
38 7248
39 14698
40 15204
41 8715
42 2772
43 462
44 36
45 1
46 7936
47 43280
48 93420
49 105880
50 69405
51 26985
52 6090
53 750
54 45
55 1
56 50521
57 285571
58 649715
59 793210
60 577225
61 260337
62 72765
63 12210
64 1155
65 55
66 1

List of values

[1, 1, 1, 1, 3, 1, 2, 7, 6, 1, 5, 20, 25, 10, 1, 16, 70, 105, 65, 15, 1, 61, 287, 490, 385, 140, 21, 1, 272, 1356, 2548, 2345, 1120, 266, 28, 1, 1385, 7248, 14698, 15204, 8715, 2772, 462, 36, 1, 7936, 43280, 93420, 105880, 69405, 26985, 6090, 750, 45, 1, 50521, 285571, 649715, 793210, 577225, 260337, 72765, 12210, 1155, 55, 1]