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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.

A243414 Number of Dyck paths of semilength n having exactly 2 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

Table of values

n a(n)
6 1
7 7
8 34
9 149
10 627
11 2584
12 10529
13 42606
14 171563
15 688255
16 2752912
17 10985005
18 43747708
19 173937910
20 690592594
21 2738547328
22 10848121023
23 42931655341
24 169759128539
25 670744883641
26 2648384384709
27 10450336782375
28 41212385684767
29 162440029038575
30 639946101535124

List of values

[1, 7, 34, 149, 627, 2584, 10529, 42606, 171563, 688255, 2752912, 10985005, 43747708, 173937910, 690592594, 2738547328, 10848121023, 42931655341, 169759128539, 670744883641, 2648384384709, 10450336782375, 41212385684767, 162440029038575, 639946101535124]

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

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