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A368604 Triangular array T, read by rows: T(n,k) = number of sums |x-y|+|y-z| = k, where x,y,z are in {1,2,...,n} and x < y and y > z.

Table of values

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

List of values

[0, 1, 0, 2, 2, 1, 3, 4, 4, 2, 4, 6, 7, 6, 4, 5, 8, 10, 10, 9, 6, 6, 10, 13, 14, 14, 12, 9, 7, 12, 16, 18, 19, 18, 16, 12, 8, 14, 19, 22, 24, 24, 23, 20, 16, 9, 16, 22, 26, 29, 30, 30, 28, 25, 20, 10, 18, 25, 30, 34, 36, 37, 36, 34, 30, 25, 11, 20, 28, 34, 39]