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.

A327809 Regular triangle, coefficients of the polynomial P(n)(x) = (-1)^(n+1)*(2*n+1)*binomial(2*n, n)*Sum_{i=0..n} x^i*binomial(n, i)/(n+i+1).

Table of values

n a(n)
0 -1
1 3
2 2
3 -10
4 -15
5 -6
6 35
7 84
8 70
9 20
10 -126
11 -420
12 -540
13 -315
14 -70
15 462
16 1980
17 3465
18 3080
19 1386
20 252
21 -1716
22 -9009
23 -20020
24 -24024
25 -16380
26 -6006
27 -924
28 6435
29 40040
30 108108
31 163800
32 150150
33 83160
34 25740
35 3432
36 -24310
37 -175032
38 -556920
39 -1021020
40 -1178100
41 -875160
42 -408408
43 -109395
44 -12870

List of values

[-1, 3, 2, -10, -15, -6, 35, 84, 70, 20, -126, -420, -540, -315, -70, 462, 1980, 3465, 3080, 1386, 252, -1716, -9009, -20020, -24024, -16380, -6006, -924, 6435, 40040, 108108, 163800, 150150, 83160, 25740, 3432, -24310, -175032, -556920, -1021020, -1178100, -875160, -408408, -109395, -12870]