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A255903 Number T(n,k) of collections of nonempty multisets with a total of n objects of exactly k colors; 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 2
5 2
6 0
7 3
8 8
9 5
10 0
11 5
12 23
13 33
14 15
15 0
16 7
17 56
18 141
19 144
20 52
21 0
22 11
23 127
24 492
25 848
26 675
27 203
28 0
29 15
30 268
31 1518
32 3936
33 5190
34 3396
35 877
36 0
37 22
38 547
39 4320
40 15800
41 30710
42 32835
43 18270
44 4140
45 0
46 30
47 1072
48 11567
49 57420
50 154410
51 240012
52 216006
53 104656
54 21147

List of values

[1, 0, 1, 0, 2, 2, 0, 3, 8, 5, 0, 5, 23, 33, 15, 0, 7, 56, 141, 144, 52, 0, 11, 127, 492, 848, 675, 203, 0, 15, 268, 1518, 3936, 5190, 3396, 877, 0, 22, 547, 4320, 15800, 30710, 32835, 18270, 4140, 0, 30, 1072, 11567, 57420, 154410, 240012, 216006, 104656, 21147]