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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.

A229892 Number T(n,k) of k up, k down permutations of [n]; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 0
4 1
5 1
6 0
7 2
8 1
9 1
10 0
11 5
12 3
13 1
14 1
15 0
16 16
17 6
18 4
19 1
20 1
21 0
22 61
23 26
24 10
25 5
26 1
27 1
28 0
29 272
30 71
31 20
32 15
33 6
34 1
35 1
36 0
37 1385
38 413
39 125
40 35
41 21
42 7
43 1
44 1
45 0
46 7936
47 1456
48 461
49 70
50 56
51 28
52 8
53 1
54 1
55 0
56 50521
57 10576
58 1301
59 574
60 126
61 84
62 36
63 9
64 1
65 1

List of values

[1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 5, 3, 1, 1, 0, 16, 6, 4, 1, 1, 0, 61, 26, 10, 5, 1, 1, 0, 272, 71, 20, 15, 6, 1, 1, 0, 1385, 413, 125, 35, 21, 7, 1, 1, 0, 7936, 1456, 461, 70, 56, 28, 8, 1, 1, 0, 50521, 10576, 1301, 574, 126, 84, 36, 9, 1, 1]