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.

A296054 Number of permutations of [n] with an equal number of occurrences of the consecutive step patterns 010 and 101, where 1=up and 0=down.

Table of values

n a(n)
0 1
1 1
2 2
3 6
4 14
5 84
6 344
7 2714
8 15850
9 158664
10 1254536
11 15066332
12 151035364
13 2091499222
14 25438986270
15 398610118170
16 5712650790562
17 99963273184972
18 1649446030193764
19 31890910904182000
20 594935710367215600
21 12604160312187654888
22 262094375885982582488

List of values

[1, 1, 2, 6, 14, 84, 344, 2714, 15850, 158664, 1254536, 15066332, 151035364, 2091499222, 25438986270, 398610118170, 5712650790562, 99963273184972, 1649446030193764, 31890910904182000, 594935710367215600, 12604160312187654888, 262094375885982582488]