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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.

A271205 Number T(m,n) of series-reduced free trees with n nodes of which exactly m >= 3 are leaves, m+1 <= n <= 2m-2.

Table of values

n a(n)
3 1
4 1
5 1
6 1
7 1
8 1
9 1
10 2
11 2
12 2
13 1
14 2
15 4
16 4
17 2
18 1
19 3
20 6
21 10
22 8
23 4
24 1
25 3
26 9
27 17
28 22
29 15
30 6
31 1
32 4
33 12
34 30
35 47
36 53
37 32
38 11
39 1
40 4
41 16
42 44
43 91
44 127
45 121
46 66
47 18
48 1
49 5
50 20
51 67
52 158
53 282
54 346
55 292
56 142
57 37
58 1
59 5
60 25
61 91
62 258
63 539
64 841
65 921
66 688
67 306
68 66
69 1
70 6
71 30
72 126
73 397
74 978
75 1804
76 2498
77 2456
78 1662
79 672
80 135
81 1
82 6
83 36
84 163
85 588
86 1636
87 3550
88 5856
89 7260
90 6489
91 3978
92 1483
93 265
94 1
95 7
96 42
97 213
98 838
99 2638
100 6495
101 12554
102 18636
103 20946
104 17082
105 9629
106 3316
107 552
108 1
109 8

List of values

[1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 4, 4, 2, 1, 3, 6, 10, 8, 4, 1, 3, 9, 17, 22, 15, 6, 1, 4, 12, 30, 47, 53, 32, 11, 1, 4, 16, 44, 91, 127, 121, 66, 18, 1, 5, 20, 67, 158, 282, 346, 292, 142, 37, 1, 5, 25, 91, 258, 539, 841, 921, 688, 306, 66, 1, 6, 30, 126, 397, 978, 1804, 2498, 2456, 1662, 672, 135, 1, 6, 36, 163, 588, 1636, 3550, 5856, 7260, 6489, 3978, 1483, 265, 1, 7, 42, 213, 838, 2638, 6495, 12554, 18636, 20946, 17082, 9629, 3316, 552, 1, 8]