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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.

A243412 Number of Dyck paths of semilength n avoiding the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

Table of values

n a(n)
0 1
1 1
2 2
3 5
4 13
5 37
6 112
7 352
8 1136
9 3742
10 12529
11 42513
12 145868
13 505234
14 1764157
15 6203370
16 21947490
17 78072209
18 279062937
19 1001803617
20 3610366030
21 13057141261
22 47373444827
23 172381857939
24 628944880851
25 2300410562946
26 8433110899963
27 30980398420830
28 114034887644860

List of values

[1, 1, 2, 5, 13, 37, 112, 352, 1136, 3742, 12529, 42513, 145868, 505234, 1764157, 6203370, 21947490, 78072209, 279062937, 1001803617, 3610366030, 13057141261, 47373444827, 172381857939, 628944880851, 2300410562946, 8433110899963, 30980398420830, 114034887644860]

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

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