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.

A230695 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern up, down, down, up; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-2)/3)), read by rows.

Table of values

n a(n)
0 1
1 1
2 2
3 6
4 24
5 109
6 11
7 588
8 132
9 3654
10 1386
11 26125
12 13606
13 589
14 209863
15 139714
16 13303
17 1876502
18 1508756
19 243542
20 18441367
21 17429745
22 3953529
23 92159
24 197776850
25 214536114
26 63334182
27 3354454
28 2297242583
29 2815529811
30 1020982869
31 93265537
32 28739304385

List of values

[1, 1, 2, 6, 24, 109, 11, 588, 132, 3654, 1386, 26125, 13606, 589, 209863, 139714, 13303, 1876502, 1508756, 243542, 18441367, 17429745, 3953529, 92159, 197776850, 214536114, 63334182, 3354454, 2297242583, 2815529811, 1020982869, 93265537, 28739304385]