A340858 - cp's OEIS frontend

A340858 a(n) is the number of integer trapezoids (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	1
5	1
6	1
7	2
8	5
9	6
10	3
11	4
12	9
13	9
14	7
15	10
16	22
17	10
18	10
19	9
20	22
21	18
22	14
23	14
24	46
25	26
26	21
27	35
28	38
29	18
30	31
31	20
32	66
33	45
34	22
35	43
36	57
37	25
38	25
39	48
40	82
41	27
42	46
43	35
44	70
45	69
46	43
47	34
48	136
49	63
50	57
51	72
52	90
53	46
54	76
55	80
56	143
57	91
58	42
59	46
60	149
61	54
62	47
63	115
64	204
65	105

[0, 0, 0, 1, 1, 1, 2, 5, 6, 3, 4, 9, 9, 7, 10, 22, 10, 10, 9, 22, 18, 14, 14, 46, 26, 21, 35, 38, 18, 31, 20, 66, 45, 22, 43, 57, 25, 25, 48, 82, 27, 46, 35, 70, 69, 43, 34, 136, 63, 57, 72, 90, 46, 76, 80, 143, 91, 42, 46, 149, 54, 47, 115, 204, 105]

cp's OEIS Frontend

A340858 a(n) is the number of integer trapezoids (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	1
5	1
6	1
7	2
8	5
9	6
10	3
11	4
12	9
13	9
14	7
15	10
16	22
17	10
18	10
19	9
20	22
21	18
22	14
23	14
24	46
25	26
26	21
27	35
28	38
29	18
30	31
31	20
32	66
33	45
34	22
35	43
36	57
37	25
38	25
39	48
40	82
41	27
42	46
43	35
44	70
45	69
46	43
47	34
48	136
49	63
50	57
51	72
52	90
53	46
54	76
55	80
56	143
57	91
58	42
59	46
60	149
61	54
62	47
63	115
64	204
65	105

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	2
8	5
9	6
10	3
11	4
12	9
13	9
14	7
15	10
16	22
17	10
18	10
19	9
20	22
21	18
22	14
23	14
24	46
25	26
26	21
27	35
28	38
29	18
30	31
31	20
32	66
33	45
34	22
35	43
36	57
37	25
38	25
39	48
40	82
41	27
42	46
43	35
44	70
45	69
46	43
47	34
48	136
49	63
50	57
51	72
52	90
53	46
54	76
55	80
56	143
57	91
58	42
59	46
60	149
61	54
62	47
63	115
64	204
65	105

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	2
8	5
9	6
10	3
11	4
12	9
13	9
14	7
15	10
16	22
17	10
18	10
19	9
20	22
21	18
22	14
23	14
24	46
25	26
26	21
27	35
28	38
29	18
30	31
31	20
32	66
33	45
34	22
35	43
36	57
37	25
38	25
39	48
40	82
41	27
42	46
43	35
44	70
45	69
46	43
47	34
48	136
49	63
50	57
51	72
52	90
53	46
54	76
55	80
56	143
57	91
58	42
59	46
60	149
61	54
62	47
63	115
64	204
65	105