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.

A336727 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (1/n) * Sum_{j=1..n} (-k)^(n-j) * binomial(n,j) * binomial(n,j-1) for n > 0.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 1
7 1
8 0
9 1
10 1
11 1
12 -1
13 -1
14 1
15 1
16 1
17 -2
18 -1
19 0
20 1
21 1
22 1
23 -3
24 1
25 5
26 2
27 1
28 1
29 1
30 -4
31 5
32 10
33 -3
34 0
35 1
36 1
37 1
38 -5
39 11
40 9
41 -38
42 -21
43 -5
44 1
45 1
46 1
47 -6
48 19
49 -4
50 -103
51 28
52 51
53 0
54 1
55 1
56 1
57 -7
58 29
59 -35
60 -174
61 357
62 289
63 41
64 14
65 1
66 1
67 1
68 -8
69 41
70 -90
71 -203
72 1176
73 -131
74 -1262
75 -391
76 0
77 1

List of values

[1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, -1, -1, 1, 1, 1, -2, -1, 0, 1, 1, 1, -3, 1, 5, 2, 1, 1, 1, -4, 5, 10, -3, 0, 1, 1, 1, -5, 11, 9, -38, -21, -5, 1, 1, 1, -6, 19, -4, -103, 28, 51, 0, 1, 1, 1, -7, 29, -35, -174, 357, 289, 41, 14, 1, 1, 1, -8, 41, -90, -203, 1176, -131, -1262, -391, 0, 1]