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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.

A241701 Number T(n,k) of Carlitz compositions of n with exactly k descents; triangle T(n,k), n>=0, 0<=k<=floor(n/3), read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 1
5 2
6 2
7 3
8 4
9 4
10 8
11 2
12 5
13 13
14 5
15 6
16 21
17 12
18 8
19 33
20 27
21 3
22 10
23 50
24 53
25 11
26 12
27 73
28 98
29 31
30 15
31 106
32 174
33 78
34 5
35 18
36 150
37 296
38 175
39 22
40 22
41 209
42 486
43 363
44 72
45 27
46 289
47 781
48 715
49 204
50 8
51 32
52 393
53 1222
54 1342
55 510
56 43
57 38
58 529
59 1874
60 2421
61 1168
62 159

List of values

[1, 1, 1, 2, 1, 2, 2, 3, 4, 4, 8, 2, 5, 13, 5, 6, 21, 12, 8, 33, 27, 3, 10, 50, 53, 11, 12, 73, 98, 31, 15, 106, 174, 78, 5, 18, 150, 296, 175, 22, 22, 209, 486, 363, 72, 27, 289, 781, 715, 204, 8, 32, 393, 1222, 1342, 510, 43, 38, 529, 1874, 2421, 1168, 159]