A066451 - cp's OEIS frontend

A066451 a(n) is the number of integers k > 0 such that (n*k+1)/(k^2+1) is an integer.

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	2
12	2
13	3
14	1
15	2
16	1
17	3
18	1
19	2
20	1
21	3
22	2
23	3
24	1
25	2
26	1
27	3
28	1
29	2
30	1
31	3
32	2
33	3
34	1
35	2
36	1
37	3
38	2
39	2
40	1
41	2
42	2
43	4
44	1
45	2
46	1
47	3
48	1
49	2
50	1
51	2
52	2
53	3
54	1
55	3
56	1
57	5
58	1
59	2
60	1
61	2
62	2
63	3
64	1
65	2
66	1
67	3
68	1
69	2
70	1
71	2
72	3
73	4
74	1
75	2
76	1
77	3
78	1
79	2
80	2
81	2
82	2
83	4
84	1
85	2
86	1
87	3
88	1
89	3
90	1
91	3
92	2
93	3
94	1
95	2
96	1
97	3
98	1
99	2
100	1
101	2
102	2
103	3
104	1
105	2

[1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 4, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 1, 3, 1, 5, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 1, 2, 1, 2, 3, 4, 1, 2, 1, 3, 1, 2, 2, 2, 2, 4, 1, 2, 1, 3, 1, 3, 1, 3, 2, 3, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 1, 2]

cp's OEIS Frontend

A066451 a(n) is the number of integers k > 0 such that (n*k+1)/(k^2+1) is an integer.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	2
12	2
13	3
14	1
15	2
16	1
17	3
18	1
19	2
20	1
21	3
22	2
23	3
24	1
25	2
26	1
27	3
28	1
29	2
30	1
31	3
32	2
33	3
34	1
35	2
36	1
37	3
38	2
39	2
40	1
41	2
42	2
43	4
44	1
45	2
46	1
47	3
48	1
49	2
50	1
51	2
52	2
53	3
54	1
55	3
56	1
57	5
58	1
59	2
60	1
61	2
62	2
63	3
64	1
65	2
66	1
67	3
68	1
69	2
70	1
71	2
72	3
73	4
74	1
75	2
76	1
77	3
78	1
79	2
80	2
81	2
82	2
83	4
84	1
85	2
86	1
87	3
88	1
89	3
90	1
91	3
92	2
93	3
94	1
95	2
96	1
97	3
98	1
99	2
100	1
101	2
102	2
103	3
104	1
105	2

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	2
12	2
13	3
14	1
15	2
16	1
17	3
18	1
19	2
20	1
21	3
22	2
23	3
24	1
25	2
26	1
27	3
28	1
29	2
30	1
31	3
32	2
33	3
34	1
35	2
36	1
37	3
38	2
39	2
40	1
41	2
42	2
43	4
44	1
45	2
46	1
47	3
48	1
49	2
50	1
51	2
52	2
53	3
54	1
55	3
56	1
57	5
58	1
59	2
60	1
61	2
62	2
63	3
64	1
65	2
66	1
67	3
68	1
69	2
70	1
71	2
72	3
73	4
74	1
75	2
76	1
77	3
78	1
79	2
80	2
81	2
82	2
83	4
84	1
85	2
86	1
87	3
88	1
89	3
90	1
91	3
92	2
93	3
94	1
95	2
96	1
97	3
98	1
99	2
100	1
101	2
102	2
103	3
104	1
105	2

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	2
12	2
13	3
14	1
15	2
16	1
17	3
18	1
19	2
20	1
21	3
22	2
23	3
24	1
25	2
26	1
27	3
28	1
29	2
30	1
31	3
32	2
33	3
34	1
35	2
36	1
37	3
38	2
39	2
40	1
41	2
42	2
43	4
44	1
45	2
46	1
47	3
48	1
49	2
50	1
51	2
52	2
53	3
54	1
55	3
56	1
57	5
58	1
59	2
60	1
61	2
62	2
63	3
64	1
65	2
66	1
67	3
68	1
69	2
70	1
71	2
72	3
73	4
74	1
75	2
76	1
77	3
78	1
79	2
80	2
81	2
82	2
83	4
84	1
85	2
86	1
87	3
88	1
89	3
90	1
91	3
92	2
93	3
94	1
95	2
96	1
97	3
98	1
99	2
100	1
101	2
102	2
103	3
104	1
105	2