A288177 - cp's OEIS frontend

A288177 Maximum number of vertices of any convex polygon formed by drawing all line segments connecting any two lattice points of an n X m convex lattice polygon in the plane written as triangle T(n,m), n >= 1, 1 <= m <= n.

n	a(n)
1	3
2	4
3	4
4	4
5	4
6	4
7	4
8	4
9	5
10	5
11	4
12	5
13	5
14	6
15	6
16	4
17	5
18	5
19	6
20	6
21	6
22	4
23	5
24	6
25	6
26	6
27	7
28	7
29	4
30	5
31	7
32	6
33	7
34	7
35	7
36	7
37	4
38	5
39	6
40	6
41	7
42	7
43	8
44	8
45	8
46	4
47	5
48	6
49	6
50	7
51	7
52	8
53	8
54	8
55	7
56	4
57	5
58	6
59	6
60	7
61	7
62	8
63	8
64	8
65	8
66	8
67	4
68	5
69	7
70	6
71	7
72	7
73	8
74	7
75	8
76	8
77	8
78	8
79	4
80	5
81	8
82	6
83	7
84	7
85	8
86	7
87	8
88	8
89	8
90	8
91	8
92	4
93	5
94	8
95	6
96	7
97	7
98	8
99	8
100	8
101	8
102	8
103	8
104	8
105	8
106	4
107	5
108	8
109	6
110	7
111	7
112	8
113	8
114	8
115	8
116	8
117	8
118	9
119	9
120	9
121	4
122	5
123	7
124	6
125	7
126	7
127	8
128	8
129	8
130	8
131	8
132	8
133	9
134	9
135	9
136	9
137	4
138	5
139	7
140	7
141	8
142	8
143	8
144	8
145	8
146	8
147	8
148	8
149	9
150	9
151	9
152	9
153	9
154	4
155	5
156	8
157	7
158	8
159	8
160	8
161	8
162	8
163	8
164	8
165	8
166	9
167	9
168	9
169	10
170	10
171	9

[3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 5, 6, 6, 4, 5, 5, 6, 6, 6, 4, 5, 6, 6, 6, 7, 7, 4, 5, 7, 6, 7, 7, 7, 7, 4, 5, 6, 6, 7, 7, 8, 8, 8, 4, 5, 6, 6, 7, 7, 8, 8, 8, 7, 4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 4, 5, 7, 6, 7, 7, 8, 7, 8, 8, 8, 8, 4, 5, 8, 6, 7, 7, 8, 7, 8, 8, 8, 8, 8, 4, 5, 8, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 8, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 4, 5, 7, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 4, 5, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 4, 5, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 9]

cp's OEIS Frontend

A288177 Maximum number of vertices of any convex polygon formed by drawing all line segments connecting any two lattice points of an n X m convex lattice polygon in the plane written as triangle T(n,m), n >= 1, 1 <= m <= n.

Table of values

List of values

n	a(n)
1	3
2	4
3	4
4	4
5	4
6	4
7	4
8	4
9	5
10	5
11	4
12	5
13	5
14	6
15	6
16	4
17	5
18	5
19	6
20	6
21	6
22	4
23	5
24	6
25	6
26	6
27	7
28	7
29	4
30	5
31	7
32	6
33	7
34	7
35	7
36	7
37	4
38	5
39	6
40	6
41	7
42	7
43	8
44	8
45	8
46	4
47	5
48	6
49	6
50	7
51	7
52	8
53	8
54	8
55	7
56	4
57	5
58	6
59	6
60	7
61	7
62	8
63	8
64	8
65	8
66	8
67	4
68	5
69	7
70	6
71	7
72	7
73	8
74	7
75	8
76	8
77	8
78	8
79	4
80	5
81	8
82	6
83	7
84	7
85	8
86	7
87	8
88	8
89	8
90	8
91	8
92	4
93	5
94	8
95	6
96	7
97	7
98	8
99	8
100	8
101	8
102	8
103	8
104	8
105	8
106	4
107	5
108	8
109	6
110	7
111	7
112	8
113	8
114	8
115	8
116	8
117	8
118	9
119	9
120	9
121	4
122	5
123	7
124	6
125	7
126	7
127	8
128	8
129	8
130	8
131	8
132	8
133	9
134	9
135	9
136	9
137	4
138	5
139	7
140	7
141	8
142	8
143	8
144	8
145	8
146	8
147	8
148	8
149	9
150	9
151	9
152	9
153	9
154	4
155	5
156	8
157	7
158	8
159	8
160	8
161	8
162	8
163	8
164	8
165	8
166	9
167	9
168	9
169	10
170	10
171	9

n	a(n)
1	3
2	4
3	4
4	4
5	4
6	4
7	4
8	4
9	5
10	5
11	4
12	5
13	5
14	6
15	6
16	4
17	5
18	5
19	6
20	6
21	6
22	4
23	5
24	6
25	6
26	6
27	7
28	7
29	4
30	5
31	7
32	6
33	7
34	7
35	7
36	7
37	4
38	5
39	6
40	6
41	7
42	7
43	8
44	8
45	8
46	4
47	5
48	6
49	6
50	7
51	7
52	8
53	8
54	8
55	7
56	4
57	5
58	6
59	6
60	7
61	7
62	8
63	8
64	8
65	8
66	8
67	4
68	5
69	7
70	6
71	7
72	7
73	8
74	7
75	8
76	8
77	8
78	8
79	4
80	5
81	8
82	6
83	7
84	7
85	8
86	7
87	8
88	8
89	8
90	8
91	8
92	4
93	5
94	8
95	6
96	7
97	7
98	8
99	8
100	8
101	8
102	8
103	8
104	8
105	8
106	4
107	5
108	8
109	6
110	7
111	7
112	8
113	8
114	8
115	8
116	8
117	8
118	9
119	9
120	9
121	4
122	5
123	7
124	6
125	7
126	7
127	8
128	8
129	8
130	8
131	8
132	8
133	9
134	9
135	9
136	9
137	4
138	5
139	7
140	7
141	8
142	8
143	8
144	8
145	8
146	8
147	8
148	8
149	9
150	9
151	9
152	9
153	9
154	4
155	5
156	8
157	7
158	8
159	8
160	8
161	8
162	8
163	8
164	8
165	8
166	9
167	9
168	9
169	10
170	10
171	9

n	a(n)
1	3
2	4
3	4
4	4
5	4
6	4
7	4
8	4
9	5
10	5
11	4
12	5
13	5
14	6
15	6
16	4
17	5
18	5
19	6
20	6
21	6
22	4
23	5
24	6
25	6
26	6
27	7
28	7
29	4
30	5
31	7
32	6
33	7
34	7
35	7
36	7
37	4
38	5
39	6
40	6
41	7
42	7
43	8
44	8
45	8
46	4
47	5
48	6
49	6
50	7
51	7
52	8
53	8
54	8
55	7
56	4
57	5
58	6
59	6
60	7
61	7
62	8
63	8
64	8
65	8
66	8
67	4
68	5
69	7
70	6
71	7
72	7
73	8
74	7
75	8
76	8
77	8
78	8
79	4
80	5
81	8
82	6
83	7
84	7
85	8
86	7
87	8
88	8
89	8
90	8
91	8
92	4
93	5
94	8
95	6
96	7
97	7
98	8
99	8
100	8
101	8
102	8
103	8
104	8
105	8
106	4
107	5
108	8
109	6
110	7
111	7
112	8
113	8
114	8
115	8
116	8
117	8
118	9
119	9
120	9
121	4
122	5
123	7
124	6
125	7
126	7
127	8
128	8
129	8
130	8
131	8
132	8
133	9
134	9
135	9
136	9
137	4
138	5
139	7
140	7
141	8
142	8
143	8
144	8
145	8
146	8
147	8
148	8
149	9
150	9
151	9
152	9
153	9
154	4
155	5
156	8
157	7
158	8
159	8
160	8
161	8
162	8
163	8
164	8
165	8
166	9
167	9
168	9
169	10
170	10
171	9