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A319600 Number T(n,k) of plane partitions of n into parts of exactly k sorts; 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 3
5 4
6 0
7 6
8 22
9 18
10 0
11 13
12 96
13 198
14 120
15 0
16 24
17 330
18 1272
19 1800
20 840
21 0
22 48
23 1146
24 7518
25 19152
26 20640
27 7920
28 0
29 86
30 3518
31 36684
32 148200
33 274080
34 234720
35 75600
36 0
37 160
38 10946
39 177438
40 1080960
41 3083640
42 4462560
43 3180240
44 887040
45 0
46 282
47 32102
48 788928
49 6952440
50 28621920
51 62056080
52 73175760
53 44432640
54 10886400

List of values

[1, 0, 1, 0, 3, 4, 0, 6, 22, 18, 0, 13, 96, 198, 120, 0, 24, 330, 1272, 1800, 840, 0, 48, 1146, 7518, 19152, 20640, 7920, 0, 86, 3518, 36684, 148200, 274080, 234720, 75600, 0, 160, 10946, 177438, 1080960, 3083640, 4462560, 3180240, 887040, 0, 282, 32102, 788928, 6952440, 28621920, 62056080, 73175760, 44432640, 10886400]