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.

A364513 Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^(2*k) * Legendre_P(n*k-1, (1 + x)/(1 - x)) for n, k >= 0.

Table of values

n a(n)
0 1
1 1
2 -2
3 1
4 -2
5 6
6 1
7 0
8 0
9 -20
10 1
11 4
12 0
13 16
14 70
15 1
16 10
17 126
18 0
19 0
20 -252
21 1
22 18
23 594
24 4900
25 0
26 -252
27 924
28 1
29 28
30 1716
31 44200
32 209950
33 0
34 0
35 -3432
36 1
37 40
38 3900
39 205920
40 3640210
41 9513504
42 0
43 4800
44 12870
45 1
46 54
47 7650
48 685216
49 27386100
50 317678760
51 447103440
52 0
53 0
54 -48620
55 1
56 70
57 13566
58 1847560
59 133501500
60 3861534768
61 28782923400
62 21558808128
63 0
64 -100100
65 184756

List of values

[1, 1, -2, 1, -2, 6, 1, 0, 0, -20, 1, 4, 0, 16, 70, 1, 10, 126, 0, 0, -252, 1, 18, 594, 4900, 0, -252, 924, 1, 28, 1716, 44200, 209950, 0, 0, -3432, 1, 40, 3900, 205920, 3640210, 9513504, 0, 4800, 12870, 1, 54, 7650, 685216, 27386100, 317678760, 447103440, 0, 0, -48620, 1, 70, 13566, 1847560, 133501500, 3861534768, 28782923400, 21558808128, 0, -100100, 184756]