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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.

A191313 Sum of the abscissae of the first returns to the horizontal axis (assumed to be 0 if there are no such returns) in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).

Table of values

n a(n)
0 0
1 0
2 2
3 5
4 15
5 30
6 71
7 134
8 296
9 551
10 1188
11 2211
12 4720
13 8815
14 18722
15 35105
16 74307
17 139842
18 295223
19 557366
20 1174031
21 2222606
22 4672473
23 8866776
24 18607461
25 35384676
26 74139407
27 141248270
28 295524297
29 563959752
30 1178389423
31 2252131246
32 4700155088
33 8995122383
34 18751860084

List of values

[0, 0, 2, 5, 15, 30, 71, 134, 296, 551, 1188, 2211, 4720, 8815, 18722, 35105, 74307, 139842, 295223, 557366, 1174031, 2222606, 4672473, 8866776, 18607461, 35384676, 74139407, 141248270, 295524297, 563959752, 1178389423, 2252131246, 4700155088, 8995122383, 18751860084]

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

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