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.

A360272 a(n) = Sum_{k=0..floor(n/4)} binomial(n-3*k,k) * Catalan(n-3*k).

Table of values

n a(n)
0 1
1 1
2 2
3 5
4 15
5 46
6 147
7 485
8 1642
9 5669
10 19883
11 70646
12 253755
13 919925
14 3361546
15 12368661
16 45786219
17 170400470
18 637200555
19 2392962645
20 9021255722
21 34128098389
22 129519490219
23 492966689110
24 1881289209003
25 7197100511317
26 27595769836714
27 106032318322517

List of values

[1, 1, 2, 5, 15, 46, 147, 485, 1642, 5669, 19883, 70646, 253755, 919925, 3361546, 12368661, 45786219, 170400470, 637200555, 2392962645, 9021255722, 34128098389, 129519490219, 492966689110, 1881289209003, 7197100511317, 27595769836714, 106032318322517]