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.

A264781 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive pattern 45321; 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
5 119
6 1
7 708
8 12
9 4914
10 126
11 38976
12 1344
13 347765
14 15110
15 5
16 3447712
17 180736
18 352
19 37598286
20 2308548
21 9966
22 447294144
23 31481472
24 225984
25 5764747515
26 457520055
27 4753185
28 45
29 80011430240
30 7068885600
31 97954080
32 21280
33 1189835682714
34 115808906178

List of values

[1, 1, 2, 6, 24, 119, 1, 708, 12, 4914, 126, 38976, 1344, 347765, 15110, 5, 3447712, 180736, 352, 37598286, 2308548, 9966, 447294144, 31481472, 225984, 5764747515, 457520055, 4753185, 45, 80011430240, 7068885600, 97954080, 21280, 1189835682714, 115808906178]