A353282 - cp's OEIS frontend

A353282 a(n) is the number of solutions (x,y) to the Diophantine equation S(x,y) = (x+y) + (x-y) + (x*y) + (x/y) = A013929(n) when x >= y > 1 and y | x.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	2
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	2
32	1
33	1
34	1
35	1
36	2
37	1
38	1
39	3
40	1
41	3
42	2
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	3
51	1
52	1
53	1
54	1
55	5
56	1
57	1
58	1
59	1
60	1
61	1
62	2
63	2
64	1
65	1
66	1
67	1
68	1
69	1
70	2
71	3
72	1
73	1
74	1
75	3
76	3
77	1
78	3
79	1
80	1
81	2
82	1
83	3
84	1
85	2
86	3
87	1

[1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 3, 3, 1, 3, 1, 1, 2, 1, 3, 1, 2, 3, 1]

cp's OEIS Frontend

A353282 a(n) is the number of solutions (x,y) to the Diophantine equation S(x,y) = (x+y) + (x-y) + (x*y) + (x/y) = A013929(n) when x >= y > 1 and y | x.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	2
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	2
32	1
33	1
34	1
35	1
36	2
37	1
38	1
39	3
40	1
41	3
42	2
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	3
51	1
52	1
53	1
54	1
55	5
56	1
57	1
58	1
59	1
60	1
61	1
62	2
63	2
64	1
65	1
66	1
67	1
68	1
69	1
70	2
71	3
72	1
73	1
74	1
75	3
76	3
77	1
78	3
79	1
80	1
81	2
82	1
83	3
84	1
85	2
86	3
87	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	2
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	2
32	1
33	1
34	1
35	1
36	2
37	1
38	1
39	3
40	1
41	3
42	2
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	3
51	1
52	1
53	1
54	1
55	5
56	1
57	1
58	1
59	1
60	1
61	1
62	2
63	2
64	1
65	1
66	1
67	1
68	1
69	1
70	2
71	3
72	1
73	1
74	1
75	3
76	3
77	1
78	3
79	1
80	1
81	2
82	1
83	3
84	1
85	2
86	3
87	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	2
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	3
26	1
27	3
28	1
29	1
30	2
31	2
32	1
33	1
34	1
35	1
36	2
37	1
38	1
39	3
40	1
41	3
42	2
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	3
51	1
52	1
53	1
54	1
55	5
56	1
57	1
58	1
59	1
60	1
61	1
62	2
63	2
64	1
65	1
66	1
67	1
68	1
69	1
70	2
71	3
72	1
73	1
74	1
75	3
76	3
77	1
78	3
79	1
80	1
81	2
82	1
83	3
84	1
85	2
86	3
87	1