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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.

A307429 Triangle read by rows: T(n,k) is the number of permutations of {1..n} at Kendall tau distance k of permutation sigma1 and k+1 Kendall tau distance of permutation sigma2, where sigma1 and sigma2 are at Kendall tau distance 1.

Table of values

n a(n)
1 1
2 1
3 0
4 1
5 1
6 1
7 0
8 1
9 2
10 3
11 3
12 2
13 1
14 0
15 1
16 3
17 6
18 9
19 11
20 11
21 9
22 6
23 3
24 1
25 0
26 1
27 4
28 10
29 19
30 30
31 41
32 49
33 52
34 49
35 41
36 30
37 19
38 10
39 4
40 1
41 0
42 1
43 5
44 15
45 34
46 64
47 105
48 154
49 205
50 250
51 281
52 292
53 281
54 250
55 205
56 154
57 105
58 64
59 34
60 15
61 5
62 1
63 0

List of values

[1, 1, 0, 1, 1, 1, 0, 1, 2, 3, 3, 2, 1, 0, 1, 3, 6, 9, 11, 11, 9, 6, 3, 1, 0, 1, 4, 10, 19, 30, 41, 49, 52, 49, 41, 30, 19, 10, 4, 1, 0, 1, 5, 15, 34, 64, 105, 154, 205, 250, 281, 292, 281, 250, 205, 154, 105, 64, 34, 15, 5, 1, 0]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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