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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.

A243415 Number of Dyck paths of semilength n having exactly 3 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

Table of values

n a(n)
8 1
9 9
10 54
11 279
12 1334
13 6092
14 27048
15 117896
16 507173
17 2160151
18 9128266
19 38326830
20 160063712
21 665442560
22 2755685897
23 11372798741
24 46794914849
25 192029181971
26 786126469079
27 3211253947191
28 13091799706905
29 53277016211285
30 216451122516387
31 878040805034630

List of values

[1, 9, 54, 279, 1334, 6092, 27048, 117896, 507173, 2160151, 9128266, 38326830, 160063712, 665442560, 2755685897, 11372798741, 46794914849, 192029181971, 786126469079, 3211253947191, 13091799706905, 53277016211285, 216451122516387, 878040805034630]

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

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