A319854 - cp's OEIS frontend

A319854 Number of ways to write n as the sum of 4 positive integers a, b, c, d such that d < b and a/b - c/d = (a - c)/(b + d).

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	0
11	1
12	0
13	1
14	2
15	0
16	1
17	1
18	3
19	1
20	1
21	1
22	3
23	3
24	2
25	1
26	3
27	2
28	4
29	2
30	2
31	3
32	6
33	3
34	4
35	2
36	5
37	3
38	7
39	4
40	3
41	4
42	6
43	5
44	9
45	2
46	7
47	4
48	6
49	5
50	9
51	5
52	6
53	6
54	8
55	3
56	9
57	7
58	12
59	7
60	6
61	6
62	11
63	5
64	12
65	6
66	11
67	7
68	12
69	6
70	9
71	10
72	12
73	7
74	16
75	5
76	13
77	8
78	14
79	9
80	11
81	9
82	15
83	11
84	14

[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 3, 1, 1, 1, 3, 3, 2, 1, 3, 2, 4, 2, 2, 3, 6, 3, 4, 2, 5, 3, 7, 4, 3, 4, 6, 5, 9, 2, 7, 4, 6, 5, 9, 5, 6, 6, 8, 3, 9, 7, 12, 7, 6, 6, 11, 5, 12, 6, 11, 7, 12, 6, 9, 10, 12, 7, 16, 5, 13, 8, 14, 9, 11, 9, 15, 11, 14]

cp's OEIS Frontend

A319854 Number of ways to write n as the sum of 4 positive integers a, b, c, d such that d < b and a/b - c/d = (a - c)/(b + d).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	0
11	1
12	0
13	1
14	2
15	0
16	1
17	1
18	3
19	1
20	1
21	1
22	3
23	3
24	2
25	1
26	3
27	2
28	4
29	2
30	2
31	3
32	6
33	3
34	4
35	2
36	5
37	3
38	7
39	4
40	3
41	4
42	6
43	5
44	9
45	2
46	7
47	4
48	6
49	5
50	9
51	5
52	6
53	6
54	8
55	3
56	9
57	7
58	12
59	7
60	6
61	6
62	11
63	5
64	12
65	6
66	11
67	7
68	12
69	6
70	9
71	10
72	12
73	7
74	16
75	5
76	13
77	8
78	14
79	9
80	11
81	9
82	15
83	11
84	14

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	0
11	1
12	0
13	1
14	2
15	0
16	1
17	1
18	3
19	1
20	1
21	1
22	3
23	3
24	2
25	1
26	3
27	2
28	4
29	2
30	2
31	3
32	6
33	3
34	4
35	2
36	5
37	3
38	7
39	4
40	3
41	4
42	6
43	5
44	9
45	2
46	7
47	4
48	6
49	5
50	9
51	5
52	6
53	6
54	8
55	3
56	9
57	7
58	12
59	7
60	6
61	6
62	11
63	5
64	12
65	6
66	11
67	7
68	12
69	6
70	9
71	10
72	12
73	7
74	16
75	5
76	13
77	8
78	14
79	9
80	11
81	9
82	15
83	11
84	14

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	0
11	1
12	0
13	1
14	2
15	0
16	1
17	1
18	3
19	1
20	1
21	1
22	3
23	3
24	2
25	1
26	3
27	2
28	4
29	2
30	2
31	3
32	6
33	3
34	4
35	2
36	5
37	3
38	7
39	4
40	3
41	4
42	6
43	5
44	9
45	2
46	7
47	4
48	6
49	5
50	9
51	5
52	6
53	6
54	8
55	3
56	9
57	7
58	12
59	7
60	6
61	6
62	11
63	5
64	12
65	6
66	11
67	7
68	12
69	6
70	9
71	10
72	12
73	7
74	16
75	5
76	13
77	8
78	14
79	9
80	11
81	9
82	15
83	11
84	14