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.

A317327 Number T(n,k) of permutations of [n] with exactly k distinct lengths of increasing runs; triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 2
5 0
6 2
7 4
8 0
9 7
10 17
11 0
12 2
13 118
14 0
15 82
16 436
17 202
18 0
19 2
20 3294
21 1744
22 0
23 1456
24 18164
25 20700
26 0
27 1515
28 140659
29 220706
30 0
31 50774
32 1096994
33 2317340
34 163692
35 0
36 2
37 10116767
38 27136103
39 2663928
40 0
41 3052874
42 94670868
43 328323746
44 52954112
45 0
46 2
47 1021089326
48 4317753402
49 888178070

List of values

[1, 0, 1, 0, 2, 0, 2, 4, 0, 7, 17, 0, 2, 118, 0, 82, 436, 202, 0, 2, 3294, 1744, 0, 1456, 18164, 20700, 0, 1515, 140659, 220706, 0, 50774, 1096994, 2317340, 163692, 0, 2, 10116767, 27136103, 2663928, 0, 3052874, 94670868, 328323746, 52954112, 0, 2, 1021089326, 4317753402, 888178070]