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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.

A357293 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} Stirling2(n,k*j).

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 1
5 0
6 1
7 0
8 2
9 0
10 1
11 0
12 1
13 5
14 0
15 1
16 0
17 0
18 3
19 15
20 0
21 1
22 0
23 0
24 1
25 8
26 52
27 0
28 1
29 0
30 0
31 0
32 6
33 25
34 203
35 0
36 1
37 0
38 0
39 0
40 1
41 25
42 97
43 877
44 0
45 1
46 0
47 0
48 0
49 0
50 10
51 91
52 434
53 4140
54 0
55 1
56 0
57 0
58 0
59 0
60 1
61 65
62 322
63 2095
64 21147
65 0
66 1
67 0
68 0
69 0
70 0
71 0
72 15
73 350
74 1232
75 10707
76 115975
77 0
78 1
79 0
80 0
81 0
82 0
83 0
84 1
85 140
86 1702
87 5672
88 58194
89 678570
90 0

List of values

[1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 5, 0, 1, 0, 0, 3, 15, 0, 1, 0, 0, 1, 8, 52, 0, 1, 0, 0, 0, 6, 25, 203, 0, 1, 0, 0, 0, 1, 25, 97, 877, 0, 1, 0, 0, 0, 0, 10, 91, 434, 4140, 0, 1, 0, 0, 0, 0, 1, 65, 322, 2095, 21147, 0, 1, 0, 0, 0, 0, 0, 15, 350, 1232, 10707, 115975, 0, 1, 0, 0, 0, 0, 0, 1, 140, 1702, 5672, 58194, 678570, 0]