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.

A360024 a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(n-k,k) * Catalan(k).

Table of values

n a(n)
0 1
1 1
2 0
3 -1
4 0
5 3
6 3
7 -5
8 -12
9 5
10 41
11 21
12 -110
13 -165
14 210
15 735
16 -30
17 -2505
18 -2205
19 6555
20 13710
21 -10035
22 -57390
23 -18471
24 185790
25 240793
26 -436317
27 -1276795
28 360302
29 4956495
30 3410749
31 -14776581
32 -26548200
33 28671609
34 124807175
35 14211153
36 -446256722
37 -481156685

List of values

[1, 1, 0, -1, 0, 3, 3, -5, -12, 5, 41, 21, -110, -165, 210, 735, -30, -2505, -2205, 6555, 13710, -10035, -57390, -18471, 185790, 240793, -436317, -1276795, 360302, 4956495, 3410749, -14776581, -26548200, 28671609, 124807175, 14211153, -446256722, -481156685]