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.

A360025 a(n) = Sum_{k=0..floor(n/3)} (-1)^k * binomial(n-2*k,k) * Catalan(k).

Table of values

n a(n)
0 1
1 1
2 1
3 0
4 -1
5 -2
6 -1
7 2
8 7
9 9
10 3
11 -16
12 -39
13 -43
14 9
15 126
16 247
17 199
18 -213
19 -984
20 -1555
21 -756
22 2525
23 7518
24 9593
25 559
26 -24899
27 -56216
28 -55241
29 33150
30 225879
31 407194
32 273199
33 -529745
34 -1938549
35 -2822128
36 -833219
37 6083986
38 15904733
39 18288966
40 -4172187
41 -61154333

List of values

[1, 1, 1, 0, -1, -2, -1, 2, 7, 9, 3, -16, -39, -43, 9, 126, 247, 199, -213, -984, -1555, -756, 2525, 7518, 9593, 559, -24899, -56216, -55241, 33150, 225879, 407194, 273199, -529745, -1938549, -2822128, -833219, 6083986, 15904733, 18288966, -4172187, -61154333]