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.

A360049 a(n) = Sum_{k=0..floor(n/3)} (-1)^k * binomial(n+2,3*k+2) * Catalan(k).

Table of values

n a(n)
0 1
1 3
2 6
3 9
4 9
5 0
6 -26
7 -72
8 -117
9 -82
10 204
11 975
12 2289
13 3357
14 1332
15 -9834
16 -37935
17 -82593
18 -108282
19 2583
20 487521
21 1621071
22 3261546
23 3685230
24 -2318615
25 -24607854
26 -72887472
27 -134909701
28 -123941901
29 200330184
30 1258932996
31 3377359872
32 5706502677
33 3797618237

List of values

[1, 3, 6, 9, 9, 0, -26, -72, -117, -82, 204, 975, 2289, 3357, 1332, -9834, -37935, -82593, -108282, 2583, 487521, 1621071, 3261546, 3685230, -2318615, -24607854, -72887472, -134909701, -123941901, 200330184, 1258932996, 3377359872, 5706502677, 3797618237]