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A145882 Triangle read by rows: T(n,k) is the number of even permutations of {1,2,...,n} having k descents (n >= 1, k >= 0).

Table of values

n a(n)
1 1
2 1
3 1
4 2
5 1
6 5
7 5
8 1
9 1
10 14
11 30
12 14
13 1
14 1
15 29
16 147
17 155
18 28
19 1
20 64
21 586
22 1208
23 605
24 56
25 1
26 127
27 2133
28 7819
29 7819
30 2133
31 127
32 1
33 1
34 262
35 7288
36 44074
37 78190
38 44074
39 7288
40 262
41 1
42 1
43 517
44 23893
45 227569
46 655315
47 655039
48 227623
49 23947
50 496
51 1
52 1044
53 76332
54 1101420

List of values

[1, 1, 1, 2, 1, 5, 5, 1, 1, 14, 30, 14, 1, 1, 29, 147, 155, 28, 1, 64, 586, 1208, 605, 56, 1, 127, 2133, 7819, 7819, 2133, 127, 1, 1, 262, 7288, 44074, 78190, 44074, 7288, 262, 1, 1, 517, 23893, 227569, 655315, 655039, 227623, 23947, 496, 1, 1044, 76332, 1101420]