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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.

A342770 T(n,k) is the number of rooted plane binary forests with n nodes and k trees: triangle read by rows.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 0
5 1
6 0
7 1
8 0
9 1
10 0
11 0
12 1
13 0
14 1
15 0
16 2
17 0
18 1
19 0
20 1
21 0
22 0
23 3
24 0
25 1
26 0
27 1
28 0
29 5
30 0
31 3
32 0
33 1
34 0
35 1
36 0
37 0
38 7
39 0
40 3
41 0
42 1
43 0
44 1
45 0
46 14
47 0
48 8
49 0
50 3
51 0
52 1
53 0
54 1
55 0
56 0
57 22
58 0
59 8
60 0
61 3
62 0
63 1
64 0
65 1
66 0
67 42
68 0
69 24
70 0
71 8
72 0
73 3
74 0
75 1
76 0
77 1
78 0
79 0
80 66
81 0
82 25
83 0
84 8
85 0

List of values

[1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 3, 0, 1, 0, 1, 0, 5, 0, 3, 0, 1, 0, 1, 0, 0, 7, 0, 3, 0, 1, 0, 1, 0, 14, 0, 8, 0, 3, 0, 1, 0, 1, 0, 0, 22, 0, 8, 0, 3, 0, 1, 0, 1, 0, 42, 0, 24, 0, 8, 0, 3, 0, 1, 0, 1, 0, 0, 66, 0, 25, 0, 8, 0]