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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.

A288140 Number of Dyck paths of semilength n such that the number of peaks is weakly decreasing from lower to higher levels.

Table of values

n a(n)
0 1
1 1
2 1
3 3
4 4
5 12
6 28
7 63
8 177
9 455
10 1233
11 3383
12 9359
13 26809
14 77078
15 223201
16 653982
17 1934508
18 5783712
19 17431660
20 52879184
21 161386859
22 495432345
23 1530191918
24 4754079840
25 14849407892
26 46604383972
27 146897291083
28 464892421363
29 1477052536749
30 4711124635655

List of values

[1, 1, 1, 3, 4, 12, 28, 63, 177, 455, 1233, 3383, 9359, 26809, 77078, 223201, 653982, 1934508, 5783712, 17431660, 52879184, 161386859, 495432345, 1530191918, 4754079840, 14849407892, 46604383972, 146897291083, 464892421363, 1477052536749, 4711124635655]

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

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