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.

A242819 Number T(n,k) of permutations of [n] with exactly k occurrences of the consecutive step pattern up, down, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/3)), read by rows.

Table of values

n a(n)
0 1
1 1
2 2
3 6
4 21
5 3
6 90
7 30
8 450
9 270
10 2619
11 2322
12 99
13 17334
14 20772
15 2214
16 129114
17 195372
18 38394
19 1067661
20 1958337
21 591543
22 11259
23 9713682
24 20933154
25 8826246
26 443718
27 96393726
28 238789782
29 131367258
30 12450834
31 1036348587
32 2900868876
33 1989555210
34 297195804
35 3052323

List of values

[1, 1, 2, 6, 21, 3, 90, 30, 450, 270, 2619, 2322, 99, 17334, 20772, 2214, 129114, 195372, 38394, 1067661, 1958337, 591543, 11259, 9713682, 20933154, 8826246, 443718, 96393726, 238789782, 131367258, 12450834, 1036348587, 2900868876, 1989555210, 297195804, 3052323]