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.

A242820 Number T(n,k) of permutations of [n] with exactly k occurrences of the consecutive step pattern up, down, down, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.

Table of values

n a(n)
0 1
1 1
2 2
3 6
4 24
5 116
6 4
7 672
8 48
9 4536
10 504
11 34944
12 5376
13 302896
14 59488
15 496
16 2916992
17 697856
18 13952
19 30899616
20 8720448
21 296736
22 357080064
23 116109312
24 5812224
25 4470310976
26 1645662912
27 110697408
28 349504
29 60269056512
30 24776769024
31 2114735616
32 17730048

List of values

[1, 1, 2, 6, 24, 116, 4, 672, 48, 4536, 504, 34944, 5376, 302896, 59488, 496, 2916992, 697856, 13952, 30899616, 8720448, 296736, 357080064, 116109312, 5812224, 4470310976, 1645662912, 110697408, 349504, 60269056512, 24776769024, 2114735616, 17730048]