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.

A360271 a(n) = Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-3*k,k) * Catalan(n-3*k).

Table of values

n a(n)
0 1
1 1
2 2
3 5
4 13
5 38
6 117
7 373
8 1222
9 4085
10 13877
11 47766
12 166229
13 583893
14 2067414
15 7371093
16 26440789
17 95355990
18 345538389
19 1257486165
20 4593933398
21 16841578325
22 61938532181
23 228454719830
24 844882459989
25 3132258655573
26 11638656376150
27 43337083401557

List of values

[1, 1, 2, 5, 13, 38, 117, 373, 1222, 4085, 13877, 47766, 166229, 583893, 2067414, 7371093, 26440789, 95355990, 345538389, 1257486165, 4593933398, 16841578325, 61938532181, 228454719830, 844882459989, 3132258655573, 11638656376150, 43337083401557]