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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.

A304778 Number of Carlitz compositions c of n such that the sequence of ascents and descents of c forms a Dyck path.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 2
5 2
6 4
7 6
8 9
9 15
10 23
11 38
12 62
13 100
14 163
15 267
16 441
17 725
18 1198
19 1986
20 3291
21 5472
22 9116
23 15204
24 25399
25 42494
26 71183
27 119396
28 200507
29 337090
30 567318
31 955749
32 1611672
33 2720212
34 4595198
35 7768975
36 13145109
37 22258264
38 37716358
39 63953853
40 108515011

List of values

[1, 1, 1, 1, 2, 2, 4, 6, 9, 15, 23, 38, 62, 100, 163, 267, 441, 725, 1198, 1986, 3291, 5472, 9116, 15204, 25399, 42494, 71183, 119396, 200507, 337090, 567318, 955749, 1611672, 2720212, 4595198, 7768975, 13145109, 22258264, 37716358, 63953853, 108515011]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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