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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.

A051714 Numerators of table a(n,k) read by antidiagonals: a(0,k) = 1/(k+1), a(n+1,k) = (k+1)*(a(n,k) - a(n,k+1)), n >= 0, k >= 0.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 1
7 1
8 1
9 0
10 1
11 1
12 3
13 1
14 -1
15 1
16 1
17 2
18 1
19 -1
20 0
21 1
22 1
23 5
24 2
25 -3
26 -1
27 1
28 1
29 1
30 3
31 5
32 -1
33 -1
34 1
35 0
36 1
37 1
38 7
39 5
40 0
41 -4
42 1
43 1
44 -1
45 1
46 1
47 4
48 7
49 1
50 -1
51 -1
52 1
53 -1
54 0
55 1
56 1
57 9
58 28
59 49
60 -29
61 -5
62 8
63 1
64 -5
65 5
66 1
67 1
68 5
69 3
70 8
71 -7
72 -9
73 5
74 7
75 -5
76 5
77 0
78 1
79 1
80 11
81 15
82 27
83 -28
84 -343
85 295
86 200
87 -44
88 -1017
89 691
90 -691

List of values

[1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, -1, 1, 1, 2, 1, -1, 0, 1, 1, 5, 2, -3, -1, 1, 1, 1, 3, 5, -1, -1, 1, 0, 1, 1, 7, 5, 0, -4, 1, 1, -1, 1, 1, 4, 7, 1, -1, -1, 1, -1, 0, 1, 1, 9, 28, 49, -29, -5, 8, 1, -5, 5, 1, 1, 5, 3, 8, -7, -9, 5, 7, -5, 5, 0, 1, 1, 11, 15, 27, -28, -343, 295, 200, -44, -1017, 691, -691]