A370778 - cp's OEIS frontend

A370778 Number of non-congruent integer triangles ABC with largest side BC of length n whose opposite vertex A lies inside or on the closed boundary formed by BC and a locus of points A' such that the triangle A'BC has tan A'/2 + tan B/2 + tan C/2 = 2.

n	a(n)
1	0
2	0
3	0
4	0
5	2
6	2
7	3
8	4
9	6
10	7
11	8
12	9
13	13
14	15
15	17
16	19
17	23
18	26
19	28
20	31
21	36
22	39
23	42
24	46
25	51
26	55
27	58
28	63
29	70
30	74
31	79
32	83
33	92
34	97
35	102
36	107
37	116
38	121
39	127
40	133
41	143
42	149
43	156
44	163
45	174
46	181
47	187
48	195
49	205
50	213
51	220
52	229
53	240
54	248
55	257
56	269
57	279
58	289
59	298
60	306
61	320
62	330
63	340
64	350
65	366
66	375
67	385
68	396
69	412
70	424
71	435
72	448
73	462
74	474
75	487

[0, 0, 0, 0, 2, 2, 3, 4, 6, 7, 8, 9, 13, 15, 17, 19, 23, 26, 28, 31, 36, 39, 42, 46, 51, 55, 58, 63, 70, 74, 79, 83, 92, 97, 102, 107, 116, 121, 127, 133, 143, 149, 156, 163, 174, 181, 187, 195, 205, 213, 220, 229, 240, 248, 257, 269, 279, 289, 298, 306, 320, 330, 340, 350, 366, 375, 385, 396, 412, 424, 435, 448, 462, 474, 487]

cp's OEIS Frontend

A370778 Number of non-congruent integer triangles ABC with largest side BC of length n whose opposite vertex A lies inside or on the closed boundary formed by BC and a locus of points A' such that the triangle A'BC has tan A'/2 + tan B/2 + tan C/2 = 2.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	2
6	2
7	3
8	4
9	6
10	7
11	8
12	9
13	13
14	15
15	17
16	19
17	23
18	26
19	28
20	31
21	36
22	39
23	42
24	46
25	51
26	55
27	58
28	63
29	70
30	74
31	79
32	83
33	92
34	97
35	102
36	107
37	116
38	121
39	127
40	133
41	143
42	149
43	156
44	163
45	174
46	181
47	187
48	195
49	205
50	213
51	220
52	229
53	240
54	248
55	257
56	269
57	279
58	289
59	298
60	306
61	320
62	330
63	340
64	350
65	366
66	375
67	385
68	396
69	412
70	424
71	435
72	448
73	462
74	474
75	487

n	a(n)
1	0
2	0
3	0
4	0
5	2
6	2
7	3
8	4
9	6
10	7
11	8
12	9
13	13
14	15
15	17
16	19
17	23
18	26
19	28
20	31
21	36
22	39
23	42
24	46
25	51
26	55
27	58
28	63
29	70
30	74
31	79
32	83
33	92
34	97
35	102
36	107
37	116
38	121
39	127
40	133
41	143
42	149
43	156
44	163
45	174
46	181
47	187
48	195
49	205
50	213
51	220
52	229
53	240
54	248
55	257
56	269
57	279
58	289
59	298
60	306
61	320
62	330
63	340
64	350
65	366
66	375
67	385
68	396
69	412
70	424
71	435
72	448
73	462
74	474
75	487

n	a(n)
1	0
2	0
3	0
4	0
5	2
6	2
7	3
8	4
9	6
10	7
11	8
12	9
13	13
14	15
15	17
16	19
17	23
18	26
19	28
20	31
21	36
22	39
23	42
24	46
25	51
26	55
27	58
28	63
29	70
30	74
31	79
32	83
33	92
34	97
35	102
36	107
37	116
38	121
39	127
40	133
41	143
42	149
43	156
44	163
45	174
46	181
47	187
48	195
49	205
50	213
51	220
52	229
53	240
54	248
55	257
56	269
57	279
58	289
59	298
60	306
61	320
62	330
63	340
64	350
65	366
66	375
67	385
68	396
69	412
70	424
71	435
72	448
73	462
74	474
75	487