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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.

A261785 Sum over all Motzkin paths of length n of products over all peaks p of (n*x_p+y_p)/y_p, where x_p and y_p are the coordinates of peak p.

Table of values

n a(n)
0 1
1 1
2 4
3 13
4 101
5 571
6 6735
7 54713
8 873019
9 9274471
10 187278048
11 2460190261
12 60205154959
13 942541045811
14 27121249048036
15 492972449490417
16 16312991079531595
17 337650093459084079
18 12633283010644517490
19 293339323822142071021
20 12245145846336974734339

List of values

[1, 1, 4, 13, 101, 571, 6735, 54713, 873019, 9274471, 187278048, 2460190261, 60205154959, 942541045811, 27121249048036, 492972449490417, 16312991079531595, 337650093459084079, 12633283010644517490, 293339323822142071021, 12245145846336974734339]

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

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