A363174 - cp's OEIS frontend

A363174 Array read by rows: T(n,k) is the number of triangles inside a regular n-gon formed by intersecting line segments, considering all configurations of 3 line segments from k distinct vertices, with n >= 3, 3 <= k <= 6.

n	a(n)
3	1
4	0
5	0
6	0
7	4
8	4
9	0
10	0
11	10
12	20
13	5
14	0
15	20
16	60
17	30
18	0
19	35
20	140
21	105
22	7
23	56
24	280
25	280
26	16
27	84
28	504
29	630
30	84
31	120
32	840
33	1260
34	180
35	165
36	1320
37	2310
38	462
39	220
40	1980
41	3960
42	796
43	286
44	2860
45	6435
46	1716
47	364
48	4004
49	10010
50	2856
51	455
52	5460
53	15015
54	5005
55	560
56	7280
57	21840
58	7744

[1, 0, 0, 0, 4, 4, 0, 0, 10, 20, 5, 0, 20, 60, 30, 0, 35, 140, 105, 7, 56, 280, 280, 16, 84, 504, 630, 84, 120, 840, 1260, 180, 165, 1320, 2310, 462, 220, 1980, 3960, 796, 286, 2860, 6435, 1716, 364, 4004, 10010, 2856, 455, 5460, 15015, 5005, 560, 7280, 21840, 7744]

cp's OEIS Frontend

A363174 Array read by rows: T(n,k) is the number of triangles inside a regular n-gon formed by intersecting line segments, considering all configurations of 3 line segments from k distinct vertices, with n >= 3, 3 <= k <= 6.

Table of values

List of values