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A384881 Triangle read by rows where T(n,k) is the number of integer partitions of n with k maximal runs of consecutive parts decreasing by 1.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 1
6 0
7 2
8 0
9 1
10 0
11 1
12 3
13 0
14 1
15 0
16 2
17 2
18 2
19 0
20 1
21 0
22 2
23 3
24 3
25 2
26 0
27 1
28 0
29 2
30 5
31 3
32 2
33 2
34 0
35 1
36 0
37 1
38 8
39 4
40 4
41 2
42 2
43 0
44 1
45 0
46 3
47 5
48 10
49 4
50 3
51 2
52 2
53 0
54 1
55 0
56 2
57 9
58 9
59 9
60 5
61 3
62 2
63 2
64 0
65 1
66 0
67 2
68 11
69 13
70 9
71 9
72 4
73 3
74 2
75 2
76 0
77 1

List of values

[1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 3, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 3, 3, 2, 0, 1, 0, 2, 5, 3, 2, 2, 0, 1, 0, 1, 8, 4, 4, 2, 2, 0, 1, 0, 3, 5, 10, 4, 3, 2, 2, 0, 1, 0, 2, 9, 9, 9, 5, 3, 2, 2, 0, 1, 0, 2, 11, 13, 9, 9, 4, 3, 2, 2, 0, 1]

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