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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.

A360046 a(n) = Sum_{k=0..floor(n/4)} binomial(n+3,4*k+3) * Catalan(k).

Table of values

n a(n)
0 1
1 4
2 10
3 20
4 36
5 64
6 120
7 240
8 497
9 1036
10 2158
11 4524
12 9625
13 20816
14 45560
15 100368
16 221915
17 492380
18 1097302
19 2457228
20 5526666
21 12474000
22 28233600
23 64061920
24 145704327
25 332174532
26 758977386
27 1737703780
28 3985847284
29 9157908736
30 21074460512
31 48569746368
32 112096071675

List of values

[1, 4, 10, 20, 36, 64, 120, 240, 497, 1036, 2158, 4524, 9625, 20816, 45560, 100368, 221915, 492380, 1097302, 2457228, 5526666, 12474000, 28233600, 64061920, 145704327, 332174532, 758977386, 1737703780, 3985847284, 9157908736, 21074460512, 48569746368, 112096071675]

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

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