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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.

A060517 Triangle T(n,k) of series-reduced (or homeomorphically irreducible) graphs with loops on n labeled nodes and with k edges, k=0..binomial(n+1,2).

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 1
5 2
6 1
7 1
8 3
9 6
10 6
11 6
12 3
13 1
14 1
15 6
16 15
17 34
18 58
19 60
20 60
21 50
22 33
23 10
24 1
25 1
26 10
27 35
28 120
29 265
30 475
31 820
32 1200
33 1615
34 1860
35 1693
36 1060
37 425
38 105
39 15
40 1
41 1
42 15
43 75
44 330
45 990
46 2691
47 6326
48 13170
49 26205
50 48055
51 79206
52 112863
53 133535
54 124680
55 88890
56 47874

List of values

[1, 1, 0, 1, 1, 2, 1, 1, 3, 6, 6, 6, 3, 1, 1, 6, 15, 34, 58, 60, 60, 50, 33, 10, 1, 1, 10, 35, 120, 265, 475, 820, 1200, 1615, 1860, 1693, 1060, 425, 105, 15, 1, 1, 15, 75, 330, 990, 2691, 6326, 13170, 26205, 48055, 79206, 112863, 133535, 124680, 88890, 47874]