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.

A291118 Triangle read by rows: T(n,k) number of ways of partitioning the (n+3)-element multiset {1,1,1,1,2,3,...,n} into exactly k nonempty parts, n >= 0 and 1 <= k <= n + 3.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 2
5 1
6 1
7 1
8 4
9 4
10 2
11 1
12 1
13 9
14 14
15 9
16 4
17 1
18 1
19 19
20 49
21 43
22 21
23 7
24 1
25 1
26 39
27 164
28 206
29 123
30 47
31 11
32 1
33 1
34 79
35 529
36 957
37 741
38 331
39 97
40 16
41 1
42 1
43 159
44 1664
45 4294
46 4409
47 2397
48 829
49 184
50 22
51 1
52 1
53 319
54 5149
55 18713
56 25551
57 17353
58 7105
59 1919
60 324
61 29
62 1
63 1
64 639
65 15764
66 79746
67 144043
68 123523
69 60795
70 19405
71 4113
72 536
73 37
74 1
75 1
76 1279
77 47929
78 334237
79 792561
80 859327
81 514081
82 193530
83 49002
84 8218
85 842
86 46
87 1

List of values

[1, 1, 1, 1, 2, 1, 1, 1, 4, 4, 2, 1, 1, 9, 14, 9, 4, 1, 1, 19, 49, 43, 21, 7, 1, 1, 39, 164, 206, 123, 47, 11, 1, 1, 79, 529, 957, 741, 331, 97, 16, 1, 1, 159, 1664, 4294, 4409, 2397, 829, 184, 22, 1, 1, 319, 5149, 18713, 25551, 17353, 7105, 1919, 324, 29, 1, 1, 639, 15764, 79746, 144043, 123523, 60795, 19405, 4113, 536, 37, 1, 1, 1279, 47929, 334237, 792561, 859327, 514081, 193530, 49002, 8218, 842, 46, 1]