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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.

A286918 Total number of nodes summed over all lattice paths from (0,0) to (n,n) using steps {(k,0), (0,k) | 0 which never go above the diagonal x=y.

Table of values

n a(n)
0 1
1 3
2 21
3 159
4 1257
5 10046
6 81811
7 674184
8 5605141
9 46920874
10 394949193
11 3339464105
12 28343082002
13 241324470723
14 2060357315568
15 17632454524499
16 151211115930880
17 1299121121946684
18 11179500360964780
19 96344672766997340
20 831385476662968094
21 7182777882757416692

List of values

[1, 3, 21, 159, 1257, 10046, 81811, 674184, 5605141, 46920874, 394949193, 3339464105, 28343082002, 241324470723, 2060357315568, 17632454524499, 151211115930880, 1299121121946684, 11179500360964780, 96344672766997340, 831385476662968094, 7182777882757416692]

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

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