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A145894 Triangle read by rows: T(n,k) is the number of permutations p of {1,2,...,n} such that j and p(j) are of the same parity for k values of j (0<=k<=n).

Table of values

n a(n)
0 1
1 0
2 1
3 1
4 0
5 1
6 0
7 4
8 0
9 2
10 4
11 0
12 16
13 0
14 4
15 0
16 36
17 0
18 72
19 0
20 12
21 36
22 0
23 324
24 0
25 324
26 0
27 36
28 0
29 576
30 0
31 2592
32 0
33 1728
34 0
35 144
36 576
37 0
38 9216
39 0
40 20736
41 0
42 9216
43 0
44 576
45 0
46 14400
47 0
48 115200
49 0
50 172800
51 0
52 57600
53 0
54 2880
55 14400
56 0
57 360000
58 0
59 1440000
60 0
61 1440000
62 0
63 360000
64 0
65 14400

List of values

[1, 0, 1, 1, 0, 1, 0, 4, 0, 2, 4, 0, 16, 0, 4, 0, 36, 0, 72, 0, 12, 36, 0, 324, 0, 324, 0, 36, 0, 576, 0, 2592, 0, 1728, 0, 144, 576, 0, 9216, 0, 20736, 0, 9216, 0, 576, 0, 14400, 0, 115200, 0, 172800, 0, 57600, 0, 2880, 14400, 0, 360000, 0, 1440000, 0, 1440000, 0, 360000, 0, 14400]