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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.

A360634 Number T(n,k) of sets of nonempty words over binary alphabet with a total of n letters of which k are the first letter; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 3
5 1
6 2
7 6
8 6
9 2
10 2
11 11
12 16
13 11
14 2
15 3
16 18
17 37
18 37
19 18
20 3
21 4
22 28
23 73
24 100
25 73
26 28
27 4
28 5
29 42
30 133
31 228
32 228
33 133
34 42
35 5
36 6
37 61
38 227
39 470
40 593
41 470
42 227
43 61
44 6
45 8
46 86
47 370
48 899
49 1370
50 1370
51 899
52 370
53 86
54 8
55 10
56 119
57 580
58 1617
59 2894
60 3497
61 2894
62 1617
63 580
64 119
65 10

List of values

[1, 1, 1, 1, 3, 1, 2, 6, 6, 2, 2, 11, 16, 11, 2, 3, 18, 37, 37, 18, 3, 4, 28, 73, 100, 73, 28, 4, 5, 42, 133, 228, 228, 133, 42, 5, 6, 61, 227, 470, 593, 470, 227, 61, 6, 8, 86, 370, 899, 1370, 1370, 899, 370, 86, 8, 10, 119, 580, 1617, 2894, 3497, 2894, 1617, 580, 119, 10]