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.

A333564 a(n) = [x^n] ( c(x)/c(-x) )^n, where c(x) = (1 - sqrt( 1 - 4*x))/(2*x) is the o.g.f. of the Catalan numbers A000108.

Table of values

n a(n)
1 2
2 8
3 56
4 384
5 2752
6 20096
7 148864
8 1114112
9 8403968
10 63787008
11 486584320
12 3727196160
13 28649455616
14 220869853184
15 1707123245056
16 13223868760064
17 102636144295936
18 797982357192704
19 6213784327684096
20 48452953790480384
21 378291752487878656
22 2956824500391378944

List of values

[2, 8, 56, 384, 2752, 20096, 148864, 1114112, 8403968, 63787008, 486584320, 3727196160, 28649455616, 220869853184, 1707123245056, 13223868760064, 102636144295936, 797982357192704, 6213784327684096, 48452953790480384, 378291752487878656, 2956824500391378944]