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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.

A333257 Number of distinct consecutive subsequence-sums of the k-th composition in standard order.

Table of values

n a(n)
0 1
1 2
2 2
3 3
4 2
5 4
6 4
7 4
8 2
9 4
10 3
11 5
12 4
13 5
14 5
15 5
16 2
17 4
18 4
19 6
20 4
21 6
22 5
23 6
24 4
25 5
26 6
27 6
28 6
29 6
30 6
31 6
32 2
33 4
34 4
35 6
36 3
37 6
38 6
39 7
40 4
41 7
42 4
43 7
44 6
45 7
46 6
47 7
48 4
49 5
50 7
51 7
52 6
53 7
54 7
55 7
56 6
57 7
58 7
59 7
60 7
61 7
62 7
63 7
64 2
65 4
66 4
67 6
68 4
69 7
70 7
71 8
72 4
73 6
74 6
75 8
76 5
77 7
78 7
79 8
80 4
81 7
82 5
83 8
84 6
85 8
86 7

List of values

[1, 2, 2, 3, 2, 4, 4, 4, 2, 4, 3, 5, 4, 5, 5, 5, 2, 4, 4, 6, 4, 6, 5, 6, 4, 5, 6, 6, 6, 6, 6, 6, 2, 4, 4, 6, 3, 6, 6, 7, 4, 7, 4, 7, 6, 7, 6, 7, 4, 5, 7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 2, 4, 4, 6, 4, 7, 7, 8, 4, 6, 6, 8, 5, 7, 7, 8, 4, 7, 5, 8, 6, 8, 7]

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