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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.

A162985 Number of Dyck paths with no UUU's and no DDD's of semilength n and having no UUDUDD's (U=(1,1), D=(1,-1)).

Table of values

n a(n)
0 1
1 1
2 2
3 3
4 6
5 12
6 25
7 53
8 114
9 249
10 550
11 1227
12 2760
13 6253
14 14256
15 32682
16 75293
17 174224
18 404741
19 943622
20 2207135
21 5177817
22 12179904
23 28722736
24 67890481
25 160812128
26 381671061
27 907529504
28 2161622683
29 5157014539
30 12321750366
31 29482362166

List of values

[1, 1, 2, 3, 6, 12, 25, 53, 114, 249, 550, 1227, 2760, 6253, 14256, 32682, 75293, 174224, 404741, 943622, 2207135, 5177817, 12179904, 28722736, 67890481, 160812128, 381671061, 907529504, 2161622683, 5157014539, 12321750366, 29482362166]

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

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