A340859 - cp's OEIS frontend

A340859 a(n) is the number of isosceles integer trapezoids (up to congruence) with integer side lengths a,c,b=d with n=Max(a,b,c) 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	3
12	9
13	6
14	5
15	10
16	20
17	9
18	10
19	8
20	21
21	18
22	10
23	10
24	37
25	21
26	12
27	24
28	31
29	14
30	26
31	17
32	55
33	32
34	20
35	36
36	54
37	22
38	20
39	39
40	74
41	24
42	40
43	26
44	58
45	59
46	24
47	26
48	113
49	47
50	41
51	54
52	69
53	33
54	51
55	61
56	111
57	65
58	35
59	39
60	124
61	38
62	39
63	88
64	145
65	79

[0, 0, 0, 1, 1, 1, 2, 5, 6, 3, 3, 9, 6, 5, 10, 20, 9, 10, 8, 21, 18, 10, 10, 37, 21, 12, 24, 31, 14, 26, 17, 55, 32, 20, 36, 54, 22, 20, 39, 74, 24, 40, 26, 58, 59, 24, 26, 113, 47, 41, 54, 69, 33, 51, 61, 111, 65, 35, 39, 124, 38, 39, 88, 145, 79]

cp's OEIS Frontend

A340859 a(n) is the number of isosceles integer trapezoids (up to congruence) with integer side lengths a,c,b=d with n=Max(a,b,c) 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	3
12	9
13	6
14	5
15	10
16	20
17	9
18	10
19	8
20	21
21	18
22	10
23	10
24	37
25	21
26	12
27	24
28	31
29	14
30	26
31	17
32	55
33	32
34	20
35	36
36	54
37	22
38	20
39	39
40	74
41	24
42	40
43	26
44	58
45	59
46	24
47	26
48	113
49	47
50	41
51	54
52	69
53	33
54	51
55	61
56	111
57	65
58	35
59	39
60	124
61	38
62	39
63	88
64	145
65	79

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	2
8	5
9	6
10	3
11	3
12	9
13	6
14	5
15	10
16	20
17	9
18	10
19	8
20	21
21	18
22	10
23	10
24	37
25	21
26	12
27	24
28	31
29	14
30	26
31	17
32	55
33	32
34	20
35	36
36	54
37	22
38	20
39	39
40	74
41	24
42	40
43	26
44	58
45	59
46	24
47	26
48	113
49	47
50	41
51	54
52	69
53	33
54	51
55	61
56	111
57	65
58	35
59	39
60	124
61	38
62	39
63	88
64	145
65	79

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	1
7	2
8	5
9	6
10	3
11	3
12	9
13	6
14	5
15	10
16	20
17	9
18	10
19	8
20	21
21	18
22	10
23	10
24	37
25	21
26	12
27	24
28	31
29	14
30	26
31	17
32	55
33	32
34	20
35	36
36	54
37	22
38	20
39	39
40	74
41	24
42	40
43	26
44	58
45	59
46	24
47	26
48	113
49	47
50	41
51	54
52	69
53	33
54	51
55	61
56	111
57	65
58	35
59	39
60	124
61	38
62	39
63	88
64	145
65	79