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A057274 Triangle T(n,k) of the number of digraphs with a source on n labeled nodes with k arcs, k=0..n*(n-1).

Table of values

n a(n)
1 1
2 0
3 2
4 1
5 0
6 0
7 9
8 20
9 15
10 6
11 1
12 0
13 0
14 0
15 64
16 330
17 720
18 914
19 792
20 495
21 220
22 66
23 12
24 1
25 0
26 0
27 0
28 0
29 625
30 5804
31 24560
32 63940
33 117310
34 164260
35 183716
36 167780
37 125955
38 77520
39 38760
40 15504
41 4845
42 1140
43 190
44 20
45 1

List of values

[1, 0, 2, 1, 0, 0, 9, 20, 15, 6, 1, 0, 0, 0, 64, 330, 720, 914, 792, 495, 220, 66, 12, 1, 0, 0, 0, 0, 625, 5804, 24560, 63940, 117310, 164260, 183716, 167780, 125955, 77520, 38760, 15504, 4845, 1140, 190, 20, 1]