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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.

A329694 Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UU, HH and DU.

Table of values

n a(n)
0 1
1 1
2 1
3 3
4 3
5 3
6 8
7 12
8 13
9 27
10 50
11 64
12 109
13 215
14 322
15 504
16 966
17 1616
18 2526
19 4578
20 8115
21 13143
22 22836
23 41162
24 69410
25 118536
26 212498
27 369226
28 631631
29 1119755
30 1977612
31 3419130
32 6014450
33 10684128
34 18689970
35 32807722
36 58300072
37 102905556
38 181031164
39 321348824
40 570303658
41 1007402762

List of values

[1, 1, 1, 3, 3, 3, 8, 12, 13, 27, 50, 64, 109, 215, 322, 504, 966, 1616, 2526, 4578, 8115, 13143, 22836, 41162, 69410, 118536, 212498, 369226, 631631, 1119755, 1977612, 3419130, 6014450, 10684128, 18689970, 32807722, 58300072, 102905556, 181031164, 321348824, 570303658, 1007402762]

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

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