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.

A258053 G.f. A(x) satisfies: 1 = Sum_{n>=0} x^n / (A(x)^2 - x)^(2*n+1) * [ Sum_{k=0..n} C(n,k)^2 * x^k * A(x)^(n-2*k) ]^2.

Table of values

n a(n)
0 1
1 1
2 1
3 0
4 1
5 -2
6 -4
7 0
8 -7
9 20
10 42
11 0
12 84
13 -272
14 -584
15 0
16 -1239
17 4270
18 9288
19 0
20 20370
21 -72860
22 -159840
23 0
24 -358092
25 1312824
26 2897400
27 0
28 6587944
29 -24580512
30 -54490848
31 0
32 -125256887
33 473534676
34 1053346410
35 0
36 2441648384
37 -9325376200
38 -20800103016
39 0
40 -48534848222
41 186886877456
42 417769301220
43 0

List of values

[1, 1, 1, 0, 1, -2, -4, 0, -7, 20, 42, 0, 84, -272, -584, 0, -1239, 4270, 9288, 0, 20370, -72860, -159840, 0, -358092, 1312824, 2897400, 0, 6587944, -24580512, -54490848, 0, -125256887, 473534676, 1053346410, 0, 2441648384, -9325376200, -20800103016, 0, -48534848222, 186886877456, 417769301220, 0]