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.

A156996 Triangle T(n, k) = coefficients of p(n,x), where p(n,x) = Sum_{j=0..n} (2*n*(n-j)!/(2*n-j)) * binomial(2*n-j, j) * (x-1)^j and p(0,x) = 1, read by rows.

Table of values

n a(n)
0 1
1 -1
2 2
3 0
4 0
5 2
6 1
7 0
8 3
9 2
10 2
11 8
12 4
13 8
14 2
15 13
16 30
17 40
18 20
19 15
20 2
21 80
22 192
23 210
24 152
25 60
26 24
27 2
28 579
29 1344
30 1477
31 994
32 469
33 140
34 35
35 2
36 4738
37 10800
38 11672
39 7888
40 3660
41 1232
42 280
43 48
44 2
45 43387
46 97434
47 104256
48 70152
49 32958
50 11268
51 2856
52 504
53 63
54 2
55 439792
56 976000
57 1036050
58 695760
59 328920
60 115056
61 30300
62 6000
63 840
64 80
65 2

List of values

[1, -1, 2, 0, 0, 2, 1, 0, 3, 2, 2, 8, 4, 8, 2, 13, 30, 40, 20, 15, 2, 80, 192, 210, 152, 60, 24, 2, 579, 1344, 1477, 994, 469, 140, 35, 2, 4738, 10800, 11672, 7888, 3660, 1232, 280, 48, 2, 43387, 97434, 104256, 70152, 32958, 11268, 2856, 504, 63, 2, 439792, 976000, 1036050, 695760, 328920, 115056, 30300, 6000, 840, 80, 2]