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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.

A055277 Triangle T(n,k) of number of rooted trees with n nodes and k leaves, 1 <= k <= n.

Table of values

n a(n)
1 1
2 1
3 0
4 1
5 1
6 0
7 1
8 2
9 1
10 0
11 1
12 4
13 3
14 1
15 0
16 1
17 6
18 8
19 4
20 1
21 0
22 1
23 9
24 18
25 14
26 5
27 1
28 0
29 1
30 12
31 35
32 39
33 21
34 6
35 1
36 0
37 1
38 16
39 62
40 97
41 72
42 30
43 7
44 1
45 0
46 1
47 20
48 103
49 212
50 214
51 120
52 40
53 8
54 1
55 0
56 1
57 25
58 161
59 429
60 563
61 416
62 185
63 52
64 9
65 1
66 0
67 1
68 30
69 241
70 804
71 1344
72 1268
73 732
74 270
75 65
76 10
77 1
78 0

List of values

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 4, 3, 1, 0, 1, 6, 8, 4, 1, 0, 1, 9, 18, 14, 5, 1, 0, 1, 12, 35, 39, 21, 6, 1, 0, 1, 16, 62, 97, 72, 30, 7, 1, 0, 1, 20, 103, 212, 214, 120, 40, 8, 1, 0, 1, 25, 161, 429, 563, 416, 185, 52, 9, 1, 0, 1, 30, 241, 804, 1344, 1268, 732, 270, 65, 10, 1, 0]