A105659 - cp's OEIS frontend

A105659 Number of different characteristics, this is the squarefree part of (a+b+c)(a+b-c)(a-b+c)(-a+b+c), of integral triangles (a,b,c) with diameter n.

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	11
7	12
8	16
9	18
10	22
11	28
12	28
13	35
14	38
15	49
16	50
17	57
18	65
19	75
20	74
21	87
22	83
23	112
24	111
25	114
26	120
27	135
28	146
29	175
30	168
31	196
32	185
33	213
34	222
35	219
36	234
37	267
38	270
39	293
40	306
41	339
42	333
43	386
44	348
45	365
46	420
47	460
48	431
49	445
50	436
51	490
52	480
53	577
54	511
55	549
56	559
57	610
58	635

[1, 2, 4, 5, 8, 11, 12, 16, 18, 22, 28, 28, 35, 38, 49, 50, 57, 65, 75, 74, 87, 83, 112, 111, 114, 120, 135, 146, 175, 168, 196, 185, 213, 222, 219, 234, 267, 270, 293, 306, 339, 333, 386, 348, 365, 420, 460, 431, 445, 436, 490, 480, 577, 511, 549, 559, 610, 635]

cp's OEIS Frontend

A105659 Number of different characteristics, this is the squarefree part of (a+b+c)(a+b-c)(a-b+c)(-a+b+c), of integral triangles (a,b,c) with diameter n.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	11
7	12
8	16
9	18
10	22
11	28
12	28
13	35
14	38
15	49
16	50
17	57
18	65
19	75
20	74
21	87
22	83
23	112
24	111
25	114
26	120
27	135
28	146
29	175
30	168
31	196
32	185
33	213
34	222
35	219
36	234
37	267
38	270
39	293
40	306
41	339
42	333
43	386
44	348
45	365
46	420
47	460
48	431
49	445
50	436
51	490
52	480
53	577
54	511
55	549
56	559
57	610
58	635

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	11
7	12
8	16
9	18
10	22
11	28
12	28
13	35
14	38
15	49
16	50
17	57
18	65
19	75
20	74
21	87
22	83
23	112
24	111
25	114
26	120
27	135
28	146
29	175
30	168
31	196
32	185
33	213
34	222
35	219
36	234
37	267
38	270
39	293
40	306
41	339
42	333
43	386
44	348
45	365
46	420
47	460
48	431
49	445
50	436
51	490
52	480
53	577
54	511
55	549
56	559
57	610
58	635

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	11
7	12
8	16
9	18
10	22
11	28
12	28
13	35
14	38
15	49
16	50
17	57
18	65
19	75
20	74
21	87
22	83
23	112
24	111
25	114
26	120
27	135
28	146
29	175
30	168
31	196
32	185
33	213
34	222
35	219
36	234
37	267
38	270
39	293
40	306
41	339
42	333
43	386
44	348
45	365
46	420
47	460
48	431
49	445
50	436
51	490
52	480
53	577
54	511
55	549
56	559
57	610
58	635