A344528 - cp's OEIS frontend

A344528 a(n) is the number of integer quadrilaterals (up to congruence) with integer side lengths a,b,c,d with n = Max(a,b,c,d) and integer diagonals e,f.

n	a(n)
1	0
2	0
3	0
4	2
5	2
6	1
7	5
8	7
9	8
10	5
11	7
12	13
13	14
14	11
15	16
16	31
17	20
18	14
19	19
20	33
21	26
22	26
23	24
24	67
25	43
26	39
27	53
28	62
29	36
30	53
31	40
32	94
33	72
34	48
35	73
36	77
37	64
38	60
39	94
40	122
41	58
42	75
43	68
44	106
45	109
46	81
47	62
48	195
49	114
50	113
51	140
52	151
53	87
54	129
55	143
56	235
57	154
58	97
59	92
60	266

[0, 0, 0, 2, 2, 1, 5, 7, 8, 5, 7, 13, 14, 11, 16, 31, 20, 14, 19, 33, 26, 26, 24, 67, 43, 39, 53, 62, 36, 53, 40, 94, 72, 48, 73, 77, 64, 60, 94, 122, 58, 75, 68, 106, 109, 81, 62, 195, 114, 113, 140, 151, 87, 129, 143, 235, 154, 97, 92, 266]

cp's OEIS Frontend

A344528 a(n) is the number of integer quadrilaterals (up to congruence) with integer side lengths a,b,c,d with n = Max(a,b,c,d) and integer diagonals e,f.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	2
5	2
6	1
7	5
8	7
9	8
10	5
11	7
12	13
13	14
14	11
15	16
16	31
17	20
18	14
19	19
20	33
21	26
22	26
23	24
24	67
25	43
26	39
27	53
28	62
29	36
30	53
31	40
32	94
33	72
34	48
35	73
36	77
37	64
38	60
39	94
40	122
41	58
42	75
43	68
44	106
45	109
46	81
47	62
48	195
49	114
50	113
51	140
52	151
53	87
54	129
55	143
56	235
57	154
58	97
59	92
60	266

n	a(n)
1	0
2	0
3	0
4	2
5	2
6	1
7	5
8	7
9	8
10	5
11	7
12	13
13	14
14	11
15	16
16	31
17	20
18	14
19	19
20	33
21	26
22	26
23	24
24	67
25	43
26	39
27	53
28	62
29	36
30	53
31	40
32	94
33	72
34	48
35	73
36	77
37	64
38	60
39	94
40	122
41	58
42	75
43	68
44	106
45	109
46	81
47	62
48	195
49	114
50	113
51	140
52	151
53	87
54	129
55	143
56	235
57	154
58	97
59	92
60	266

n	a(n)
1	0
2	0
3	0
4	2
5	2
6	1
7	5
8	7
9	8
10	5
11	7
12	13
13	14
14	11
15	16
16	31
17	20
18	14
19	19
20	33
21	26
22	26
23	24
24	67
25	43
26	39
27	53
28	62
29	36
30	53
31	40
32	94
33	72
34	48
35	73
36	77
37	64
38	60
39	94
40	122
41	58
42	75
43	68
44	106
45	109
46	81
47	62
48	195
49	114
50	113
51	140
52	151
53	87
54	129
55	143
56	235
57	154
58	97
59	92
60	266