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A119335 Number triangle T(n,k) = Sum_{j=0..n-k} C(k,3j)*C(n-k,3j).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 1
7 1
8 1
9 1
10 1
11 1
12 1
13 1
14 1
15 1
16 1
17 1
18 1
19 1
20 1
21 1
22 1
23 1
24 2
25 1
26 1
27 1
28 1
29 1
30 1
31 5
32 5
33 1
34 1
35 1
36 1
37 1
38 1
39 11
40 17
41 11
42 1
43 1
44 1
45 1
46 1
47 1
48 21
49 41
50 41
51 21
52 1
53 1
54 1
55 1
56 1
57 1
58 36
59 81
60 101
61 81
62 36
63 1
64 1
65 1
66 1
67 1
68 1
69 57
70 141
71 201
72 201
73 141
74 57
75 1
76 1
77 1

List of values

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 11, 17, 11, 1, 1, 1, 1, 1, 1, 21, 41, 41, 21, 1, 1, 1, 1, 1, 1, 36, 81, 101, 81, 36, 1, 1, 1, 1, 1, 1, 57, 141, 201, 201, 141, 57, 1, 1, 1]