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.

A322970 Coefficient triangle of polynomials recursively defined by P(n,x) = (n+1)*(n+1)! + x*Sum_{k=1..n} k^2*n!/(n+1-k)!*P(n-k,x) with P(0,x) = 1.

Table of values

n a(n)
0 1
1 1
2 4
3 1
4 12
5 18
6 1
7 24
8 120
9 96
10 1
11 40
12 420
13 1200
14 600
15 1
16 60
17 1080
18 6720
19 12600
20 4320
21 1
22 84
23 2310
24 25200
25 105840
26 141120
27 35280
28 1
29 112
30 4368
31 73920
32 554400
33 1693440
34 1693440
35 322560
36 1
37 144
38 7560
39 183456
40 2162160
41 11975040
42 27941760
43 21772800
44 3265920

List of values

[1, 1, 4, 1, 12, 18, 1, 24, 120, 96, 1, 40, 420, 1200, 600, 1, 60, 1080, 6720, 12600, 4320, 1, 84, 2310, 25200, 105840, 141120, 35280, 1, 112, 4368, 73920, 554400, 1693440, 1693440, 322560, 1, 144, 7560, 183456, 2162160, 11975040, 27941760, 21772800, 3265920]