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.

A381058 Irregular triangular array read by rows. Let S_n be the set of labeled graphs G on [n] with 2-colored nodes where black nodes are only connected to white nodes and vice versa. Orient the edges in each such graph G from black to white. T(n,k) is the number of graphs in S_n containing exactly k descents, n>=0, 0<=k<=A002620(n).

Table of values

n a(n)
0 1
1 2
2 5
3 1
4 16
5 8
6 2
7 67
8 56
9 30
10 8
11 1
12 374
13 436
14 358
15 188
16 68
17 16
18 2
19 2825
20 4143
21 4508
22 3460
23 2032
24 924
25 320
26 80
27 13
28 1
29 29212
30 50460
31 66976
32 66092
33 52412
34 34280
35 18630
36 8376
37 3072
38 892
39 194
40 28
41 2
42 417199
43 811790
44 1246486
45 1471358
46 1436404
47 1195166
48 859650
49 537750
50 292880
51 138280
52 56048
53 19168
54 5382
55 1188
56 192
57 20
58 1

List of values

[1, 2, 5, 1, 16, 8, 2, 67, 56, 30, 8, 1, 374, 436, 358, 188, 68, 16, 2, 2825, 4143, 4508, 3460, 2032, 924, 320, 80, 13, 1, 29212, 50460, 66976, 66092, 52412, 34280, 18630, 8376, 3072, 892, 194, 28, 2, 417199, 811790, 1246486, 1471358, 1436404, 1195166, 859650, 537750, 292880, 138280, 56048, 19168, 5382, 1188, 192, 20, 1]