cp's OEIS Frontend

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.

A343535 Number T(n,k) of permutations of [n] having exactly k consecutive triples j, j+1, j-1; triangle T(n,k), n>=0, 0<=k<=floor(n/3), read by rows.

Table of values

n a(n)
0 1
1 1
2 2
3 5
4 1
5 20
6 4
7 102
8 18
9 626
10 92
11 2
12 4458
13 564
14 18
15 36144
16 4032
17 144
18 328794
19 32898
20 1182
21 6
22 3316944
23 301248
24 10512
25 96
26 36755520
27 3057840
28 102240
29 1200
30 443828184
31 34073184
32 1085904
33 14304
34 24
35 5800823880
36 413484240
37 12538080
38 174000
39 600
40 81591320880

List of values

[1, 1, 2, 5, 1, 20, 4, 102, 18, 626, 92, 2, 4458, 564, 18, 36144, 4032, 144, 328794, 32898, 1182, 6, 3316944, 301248, 10512, 96, 36755520, 3057840, 102240, 1200, 443828184, 34073184, 1085904, 14304, 24, 5800823880, 413484240, 12538080, 174000, 600, 81591320880]