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A215861 Number T(n,k) of simple labeled graphs on n nodes with exactly k connected components that are trees or cycles; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 1
6 0
7 4
8 3
9 1
10 0
11 19
12 19
13 6
14 1
15 0
16 137
17 135
18 55
19 10
20 1
21 0
22 1356
23 1267
24 540
25 125
26 15
27 1
28 0
29 17167
30 15029
31 6412
32 1610
33 245
34 21
35 1
36 0
37 264664
38 218627
39 90734
40 23597
41 3990
42 434
43 28
44 1
45 0
46 4803129
47 3783582
48 1515097
49 394506
50 70707
51 8694
52 714
53 36
54 1

List of values

[1, 0, 1, 0, 1, 1, 0, 4, 3, 1, 0, 19, 19, 6, 1, 0, 137, 135, 55, 10, 1, 0, 1356, 1267, 540, 125, 15, 1, 0, 17167, 15029, 6412, 1610, 245, 21, 1, 0, 264664, 218627, 90734, 23597, 3990, 434, 28, 1, 0, 4803129, 3783582, 1515097, 394506, 70707, 8694, 714, 36, 1]