A319853 - cp's OEIS frontend

A319853 Number of ways to write n as the sum of 4 positive integers a,b,c,d such that a/b - c/d = (a - c)/(b + d).

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	0
8	5
9	0
10	4
11	2
12	5
13	2
14	10
15	0
16	9
17	2
18	14
19	2
20	11
21	2
22	16
23	6
24	15
25	2
26	18
27	4
28	21
29	4
30	18
31	6
32	27
33	6
34	24
35	4
36	27
37	6
38	32
39	8
40	25
41	8
42	32
43	10
44	39
45	4
46	36
47	8
48	35
49	10
50	42
51	10
52	37
53	12
54	42
55	6
56	45
57	14
58	52
59	14
60	41
61	12
62	52
63	10
64	55
65	12
66	54
67	14
68	57
69	12
70	52
71	20
72	59
73	14
74	68

[0, 0, 0, 1, 0, 2, 0, 5, 0, 4, 2, 5, 2, 10, 0, 9, 2, 14, 2, 11, 2, 16, 6, 15, 2, 18, 4, 21, 4, 18, 6, 27, 6, 24, 4, 27, 6, 32, 8, 25, 8, 32, 10, 39, 4, 36, 8, 35, 10, 42, 10, 37, 12, 42, 6, 45, 14, 52, 14, 41, 12, 52, 10, 55, 12, 54, 14, 57, 12, 52, 20, 59, 14, 68]

cp's OEIS Frontend

A319853 Number of ways to write n as the sum of 4 positive integers a,b,c,d such that a/b - c/d = (a - c)/(b + d).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	0
8	5
9	0
10	4
11	2
12	5
13	2
14	10
15	0
16	9
17	2
18	14
19	2
20	11
21	2
22	16
23	6
24	15
25	2
26	18
27	4
28	21
29	4
30	18
31	6
32	27
33	6
34	24
35	4
36	27
37	6
38	32
39	8
40	25
41	8
42	32
43	10
44	39
45	4
46	36
47	8
48	35
49	10
50	42
51	10
52	37
53	12
54	42
55	6
56	45
57	14
58	52
59	14
60	41
61	12
62	52
63	10
64	55
65	12
66	54
67	14
68	57
69	12
70	52
71	20
72	59
73	14
74	68

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	0
8	5
9	0
10	4
11	2
12	5
13	2
14	10
15	0
16	9
17	2
18	14
19	2
20	11
21	2
22	16
23	6
24	15
25	2
26	18
27	4
28	21
29	4
30	18
31	6
32	27
33	6
34	24
35	4
36	27
37	6
38	32
39	8
40	25
41	8
42	32
43	10
44	39
45	4
46	36
47	8
48	35
49	10
50	42
51	10
52	37
53	12
54	42
55	6
56	45
57	14
58	52
59	14
60	41
61	12
62	52
63	10
64	55
65	12
66	54
67	14
68	57
69	12
70	52
71	20
72	59
73	14
74	68

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	0
8	5
9	0
10	4
11	2
12	5
13	2
14	10
15	0
16	9
17	2
18	14
19	2
20	11
21	2
22	16
23	6
24	15
25	2
26	18
27	4
28	21
29	4
30	18
31	6
32	27
33	6
34	24
35	4
36	27
37	6
38	32
39	8
40	25
41	8
42	32
43	10
44	39
45	4
46	36
47	8
48	35
49	10
50	42
51	10
52	37
53	12
54	42
55	6
56	45
57	14
58	52
59	14
60	41
61	12
62	52
63	10
64	55
65	12
66	54
67	14
68	57
69	12
70	52
71	20
72	59
73	14
74	68