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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.

A360047 a(n) = Sum_{k=0..floor(n/5)} binomial(n+4,5*k+4) * Catalan(k).

Table of values

n a(n)
0 1
1 5
2 15
3 35
4 70
5 127
6 220
7 385
8 715
9 1430
10 3005
11 6400
12 13500
13 28050
14 57800
15 119515
16 250425
17 533525
18 1151975
19 2504700
20 5453176
21 11856275
22 25748450
23 55962300
24 121981725
25 266968938
26 586630515
27 1292992795
28 2855288480
29 6311930460
30 13963767356
31 30919563310

List of values

[1, 5, 15, 35, 70, 127, 220, 385, 715, 1430, 3005, 6400, 13500, 28050, 57800, 119515, 250425, 533525, 1151975, 2504700, 5453176, 11856275, 25748450, 55962300, 121981725, 266968938, 586630515, 1292992795, 2855288480, 6311930460, 13963767356, 30919563310]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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