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.

A187244 Triangle read by rows: T(n,k) is the number of permutations of [n] having k cycles with 2 alternating runs (it is assumed that the smallest element of the cycle is in the first position), 0<=k<=floor(n/3).

Table of values

n a(n)
0 1
1 1
2 2
3 5
4 1
5 17
6 7
7 78
8 42
9 463
10 247
11 10
12 3315
13 1550
14 175
15 27164
16 11049
17 2107
18 247975
19 92596
20 22029
21 280
22 2492539
23 906427
24 220734
25 9100
26 27422698
27 10044963
28 2264724
29 184415
30 328607417
31 122314296
32 25036462
33 3028025
34 15400
35 4266367567
36 1607778568
37 307273681
38 44800184
39 800800

List of values

[1, 1, 2, 5, 1, 17, 7, 78, 42, 463, 247, 10, 3315, 1550, 175, 27164, 11049, 2107, 247975, 92596, 22029, 280, 2492539, 906427, 220734, 9100, 27422698, 10044963, 2264724, 184415, 328607417, 122314296, 25036462, 3028025, 15400, 4266367567, 1607778568, 307273681, 44800184, 800800]