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.

A230797 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern up, down, up, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-3)/2)), read by rows.

Table of values

n a(n)
0 1
1 1
2 2
3 6
4 24
5 104
6 16
7 528
8 192
9 3296
10 1472
11 272
12 23168
13 12800
14 4352
15 179712
16 132352
17 42880
18 7936
19 1573632
20 1366016
21 530432
22 158720
23 15207424
24 14781952
25 7662336
26 1911296
27 353792
28 158880768
29 178102272
30 101713920
31 31813632
32 8491008
33 1801996288
34 2282645504

List of values

[1, 1, 2, 6, 24, 104, 16, 528, 192, 3296, 1472, 272, 23168, 12800, 4352, 179712, 132352, 42880, 7936, 1573632, 1366016, 530432, 158720, 15207424, 14781952, 7662336, 1911296, 353792, 158880768, 178102272, 101713920, 31813632, 8491008, 1801996288, 2282645504]