A354699 - cp's OEIS frontend

A354699 T(w,h) is the number of non-congruent triangles with distinct side lengths whose vertices with integer coordinates (x_i, y_i) all lie on the perimeter of a rectangle of width w and height h, with max(x_i)-min(x_i) = w and max(y_i)-min(y_i) = h.

n	a(n)
1	0
2	2
3	1
4	4
5	5
6	3
7	5
8	6
9	7
10	4
11	7
12	8
13	8
14	9
15	6
16	8
17	9
18	10
19	11
20	12
21	7
22	10
23	11
24	12
25	13
26	14
27	15
28	9
29	11
30	12
31	13
32	13
33	15
34	16
35	17
36	10
37	13
38	14
39	14
40	16
41	17
42	18
43	19
44	20
45	12
46	14
47	15
48	16
49	17
50	18
51	18
52	20
53	20
54	22
55	13
56	16
57	17
58	18
59	19
60	20
61	21
62	22
63	23
64	24
65	25
66	15
67	17
68	18
69	19
70	20
71	21
72	22
73	23
74	24
75	25
76	26
77	27
78	16

[0, 2, 1, 4, 5, 3, 5, 6, 7, 4, 7, 8, 8, 9, 6, 8, 9, 10, 11, 12, 7, 10, 11, 12, 13, 14, 15, 9, 11, 12, 13, 13, 15, 16, 17, 10, 13, 14, 14, 16, 17, 18, 19, 20, 12, 14, 15, 16, 17, 18, 18, 20, 20, 22, 13, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 16]

cp's OEIS Frontend

A354699 T(w,h) is the number of non-congruent triangles with distinct side lengths whose vertices with integer coordinates (x_i, y_i) all lie on the perimeter of a rectangle of width w and height h, with max(x_i)-min(x_i) = w and max(y_i)-min(y_i) = h.

Table of values

List of values

n	a(n)
1	0
2	2
3	1
4	4
5	5
6	3
7	5
8	6
9	7
10	4
11	7
12	8
13	8
14	9
15	6
16	8
17	9
18	10
19	11
20	12
21	7
22	10
23	11
24	12
25	13
26	14
27	15
28	9
29	11
30	12
31	13
32	13
33	15
34	16
35	17
36	10
37	13
38	14
39	14
40	16
41	17
42	18
43	19
44	20
45	12
46	14
47	15
48	16
49	17
50	18
51	18
52	20
53	20
54	22
55	13
56	16
57	17
58	18
59	19
60	20
61	21
62	22
63	23
64	24
65	25
66	15
67	17
68	18
69	19
70	20
71	21
72	22
73	23
74	24
75	25
76	26
77	27
78	16

n	a(n)
1	0
2	2
3	1
4	4
5	5
6	3
7	5
8	6
9	7
10	4
11	7
12	8
13	8
14	9
15	6
16	8
17	9
18	10
19	11
20	12
21	7
22	10
23	11
24	12
25	13
26	14
27	15
28	9
29	11
30	12
31	13
32	13
33	15
34	16
35	17
36	10
37	13
38	14
39	14
40	16
41	17
42	18
43	19
44	20
45	12
46	14
47	15
48	16
49	17
50	18
51	18
52	20
53	20
54	22
55	13
56	16
57	17
58	18
59	19
60	20
61	21
62	22
63	23
64	24
65	25
66	15
67	17
68	18
69	19
70	20
71	21
72	22
73	23
74	24
75	25
76	26
77	27
78	16

n	a(n)
1	0
2	2
3	1
4	4
5	5
6	3
7	5
8	6
9	7
10	4
11	7
12	8
13	8
14	9
15	6
16	8
17	9
18	10
19	11
20	12
21	7
22	10
23	11
24	12
25	13
26	14
27	15
28	9
29	11
30	12
31	13
32	13
33	15
34	16
35	17
36	10
37	13
38	14
39	14
40	16
41	17
42	18
43	19
44	20
45	12
46	14
47	15
48	16
49	17
50	18
51	18
52	20
53	20
54	22
55	13
56	16
57	17
58	18
59	19
60	20
61	21
62	22
63	23
64	24
65	25
66	15
67	17
68	18
69	19
70	20
71	21
72	22
73	23
74	24
75	25
76	26
77	27
78	16