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.

A360027 a(n) = Sum_{k=0..floor(n/5)} (-1)^k * binomial(n-4*k,k) * Catalan(k).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 0
6 -1
7 -2
8 -3
9 -4
10 -3
11 0
12 5
13 12
14 21
15 27
16 25
17 10
18 -23
19 -79
20 -149
21 -210
22 -225
23 -143
24 101
25 544
26 1153
27 1783
28 2135
29 1714
30 -81
31 -3735
32 -9263
33 -15724
34 -20603
35 -19490
36 -6485
37 24242
38 75307
39 140955
40 200891
41 215530
42 126527
43 -132122
44 -605687

List of values

[1, 1, 1, 1, 1, 0, -1, -2, -3, -4, -3, 0, 5, 12, 21, 27, 25, 10, -23, -79, -149, -210, -225, -143, 101, 544, 1153, 1783, 2135, 1714, -81, -3735, -9263, -15724, -20603, -19490, -6485, 24242, 75307, 140955, 200891, 215530, 126527, -132122, -605687]