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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A245693 Number T(n,k) of permutations on [n] that are self-inverse on [k] but not on [k+1]; 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 2
7 0
8 0
9 4
10 12
11 2
12 0
13 0
14 10
15 72
16 18
17 4
18 0
19 0
20 26
21 480
22 120
23 36
24 8
25 0
26 0
27 76
28 3600
29 840
30 264
31 84
32 20
33 0
34 0
35 232
36 30240
37 6480
38 1920
39 648
40 216
41 52
42 0
43 0
44 764
45 282240
46 55440
47 15120
48 4920
49 1776
50 612
51 152
52 0
53 0
54 2620
55 2903040
56 524160
57 131040
58 39600
59 13920
60 5232
61 1848
62 464
63 0
64 0
65 9496

List of values

[1, 0, 1, 0, 0, 2, 2, 0, 0, 4, 12, 2, 0, 0, 10, 72, 18, 4, 0, 0, 26, 480, 120, 36, 8, 0, 0, 76, 3600, 840, 264, 84, 20, 0, 0, 232, 30240, 6480, 1920, 648, 216, 52, 0, 0, 764, 282240, 55440, 15120, 4920, 1776, 612, 152, 0, 0, 2620, 2903040, 524160, 131040, 39600, 13920, 5232, 1848, 464, 0, 0, 9496]