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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.

A166297 Number of UUDUDD's starting at level 0 in all Dyck paths of semilength n with no UUU's and no DDD's (U=(1,1), D=(1,-1)).

Table of values

n a(n)
0 0
1 0
2 0
3 1
4 2
5 5
6 12
7 28
8 66
9 156
10 370
11 882
12 2112
13 5079
14 12264
15 29725
16 72298
17 176414
18 431754
19 1059595
20 2607090
21 6429913
22 15893330
23 39365876
24 97692372
25 242875105
26 604836072
27 1508619585
28 3768496102
29 9426815859
30 23612178180
31 59217406914

List of values

[0, 0, 0, 1, 2, 5, 12, 28, 66, 156, 370, 882, 2112, 5079, 12264, 29725, 72298, 176414, 431754, 1059595, 2607090, 6429913, 15893330, 39365876, 97692372, 242875105, 604836072, 1508619585, 3768496102, 9426815859, 23612178180, 59217406914]

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

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