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.

A327117 Number T(n,k) of colored integer partitions of n using all colors of a k-set such that a color pattern for part i has i distinct colors in increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 2
6 0
7 1
8 4
9 5
10 0
11 1
12 7
13 18
14 15
15 0
16 1
17 10
18 45
19 84
20 52
21 0
22 1
23 14
24 94
25 298
26 415
27 203
28 0
29 1
30 18
31 174
32 844
33 1995
34 2178
35 877
36 0
37 1
38 23
39 300
40 2081
41 7440
42 13638
43 12131
44 4140
45 0
46 1
47 28
48 486
49 4652
50 23670
51 64898
52 95823
53 71536
54 21147
55 0
56 1
57 34
58 756
59 9682
60 67390
61 259599
62 566447
63 694676
64 445356
65 115975

List of values

[1, 0, 1, 0, 1, 2, 0, 1, 4, 5, 0, 1, 7, 18, 15, 0, 1, 10, 45, 84, 52, 0, 1, 14, 94, 298, 415, 203, 0, 1, 18, 174, 844, 1995, 2178, 877, 0, 1, 23, 300, 2081, 7440, 13638, 12131, 4140, 0, 1, 28, 486, 4652, 23670, 64898, 95823, 71536, 21147, 0, 1, 34, 756, 9682, 67390, 259599, 566447, 694676, 445356, 115975]