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A335872 Number T(n,k) of permutations of [n] having k points that are fixed or reflected; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 0
5 2
6 0
7 4
8 0
9 2
10 4
11 0
12 16
13 0
14 4
15 16
16 36
17 32
18 32
19 0
20 4
21 80
22 192
23 216
24 128
25 96
26 0
27 8
28 672
29 1472
30 1440
31 984
32 320
33 144
34 0
35 8
36 4752
37 10752
38 11776
39 7680
40 3936
41 1024
42 384
43 0
44 16
45 48768
46 103568
47 104448
48 65920
49 28544
50 9312
51 1792
52 512
53 0
54 16

List of values

[1, 0, 1, 0, 0, 2, 0, 4, 0, 2, 4, 0, 16, 0, 4, 16, 36, 32, 32, 0, 4, 80, 192, 216, 128, 96, 0, 8, 672, 1472, 1440, 984, 320, 144, 0, 8, 4752, 10752, 11776, 7680, 3936, 1024, 384, 0, 16, 48768, 103568, 104448, 65920, 28544, 9312, 1792, 512, 0, 16]