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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.

A287989 Number of Dyck paths of semilength n such that all positive levels up to the highest level have a positive number of peaks and the number of peaks of adjacent levels is different.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 6
5 10
6 27
7 84
8 226
9 770
10 2390
11 7579
12 25222
13 84299
14 285284
15 976105
16 3386494
17 11858759
18 41782516
19 148205047
20 529101609
21 1899680494
22 6854597493
23 24847293152
24 90460431604
25 330654288724
26 1213033321450
27 4465027739962
28 16486012746085
29 61044028354833

List of values

[1, 1, 1, 1, 6, 10, 27, 84, 226, 770, 2390, 7579, 25222, 84299, 285284, 976105, 3386494, 11858759, 41782516, 148205047, 529101609, 1899680494, 6854597493, 24847293152, 90460431604, 330654288724, 1213033321450, 4465027739962, 16486012746085, 61044028354833]

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

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