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.

A123516 Triangle read by rows: T(n,k) = (-1)^k * n! * 2^(n-2*k) * binomial(n,k) * binomial(2*k,k) (0<=k<=n).

Table of values

n a(n)
0 1
1 2
2 -1
3 8
4 -8
5 3
6 48
7 -72
8 54
9 -15
10 384
11 -768
12 864
13 -480
14 105
15 3840
16 -9600
17 14400
18 -12000
19 5250
20 -945
21 46080
22 -138240
23 259200
24 -288000
25 189000
26 -68040
27 10395
28 645120
29 -2257920
30 5080320
31 -7056000
32 6174000
33 -3333960
34 1018710
35 -135135
36 10321920
37 -41287680
38 108380160
39 -180633600
40 197568000

List of values

[1, 2, -1, 8, -8, 3, 48, -72, 54, -15, 384, -768, 864, -480, 105, 3840, -9600, 14400, -12000, 5250, -945, 46080, -138240, 259200, -288000, 189000, -68040, 10395, 645120, -2257920, 5080320, -7056000, 6174000, -3333960, 1018710, -135135, 10321920, -41287680, 108380160, -180633600, 197568000]