cp's OEIS Frontend

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.

A108449 Number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and having no pyramids (a pyramid is a sequence u^pd^p or U^pd^(2p) for some positive integer p, starting at the x-axis).

Table of values

n a(n)
0 1
1 0
2 4
3 32
4 252
5 2112
6 18484
7 166976
8 1545548
9 14583808
10 139774180
11 1356966240
12 13316740764
13 131890671680
14 1316627340564
15 13234192747648
16 133829733962732
17 1360586260341248
18 13898403178004420
19 142578916276009632

List of values

[1, 0, 4, 32, 252, 2112, 18484, 166976, 1545548, 14583808, 139774180, 1356966240, 13316740764, 131890671680, 1316627340564, 13234192747648, 133829733962732, 1360586260341248, 13898403178004420, 142578916276009632]