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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.

A291117 Triangle read by rows: T(n,k) = number of ways of partitioning the (n+2)-element multiset {1,1,1,2,3,...,n} into exactly k nonempty parts, n >= 0 and 1 <= k <= n + 2.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 3
7 2
8 1
9 1
10 7
11 8
12 4
13 1
14 1
15 15
16 30
17 20
18 7
19 1
20 1
21 31
22 104
23 102
24 46
25 11
26 1
27 1
28 63
29 342
30 496
31 300
32 96
33 16
34 1
35 1
36 127
37 1088
38 2294
39 1891
40 786
41 183
42 22
43 1
44 1
45 255
46 3390
47 10200
48 11417
49 6167
50 1862
51 323
52 29
53 1
54 1
55 511
56 10424
57 44062
58 66256
59 46417
60 17801
61 4040
62 535
63 37
64 1
65 1
66 1023
67 31782
68 186416
69 372190
70 336022
71 162372
72 46425
73 8127
74 841
75 46
76 1

List of values

[1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 7, 8, 4, 1, 1, 15, 30, 20, 7, 1, 1, 31, 104, 102, 46, 11, 1, 1, 63, 342, 496, 300, 96, 16, 1, 1, 127, 1088, 2294, 1891, 786, 183, 22, 1, 1, 255, 3390, 10200, 11417, 6167, 1862, 323, 29, 1, 1, 511, 10424, 44062, 66256, 46417, 17801, 4040, 535, 37, 1, 1, 1023, 31782, 186416, 372190, 336022, 162372, 46425, 8127, 841, 46, 1]