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.

A378406 a(n) = Sum_{k=0..floor(n/2)} binomial(n,k) * binomial(n+2*k,n-2*k).

Table of values

n a(n)
0 1
1 1
2 3
3 16
4 67
5 266
6 1116
7 4803
8 20707
9 89665
10 390868
11 1712283
12 7527664
13 33196606
14 146800811
15 650724896
16 2890442051
17 12862496583
18 57331583055
19 255915024714
20 1143845768892
21 5118643987872
22 22930389117771
23 102824420890590
24 461502269341936
25 2073064313021416

List of values

[1, 1, 3, 16, 67, 266, 1116, 4803, 20707, 89665, 390868, 1712283, 7527664, 33196606, 146800811, 650724896, 2890442051, 12862496583, 57331583055, 255915024714, 1143845768892, 5118643987872, 22930389117771, 102824420890590, 461502269341936, 2073064313021416]