A066743 - cp's OEIS frontend

A066743 a(n) is the number of integers of the form (n^2+1)/(k^2+1), where k = 1,2,3,...,n.

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

[1, 1, 3, 1, 2, 1, 4, 2, 2, 1, 2, 2, 5, 1, 2, 1, 5, 3, 2, 1, 4, 2, 4, 1, 2, 1, 4, 2, 2, 2, 4, 2, 4, 1, 2, 1, 4, 3, 2, 1, 2, 2, 6, 1, 2, 1, 9, 2, 2, 1, 2, 2, 4, 1, 3, 1, 8, 2, 2, 1, 2, 2, 4, 2, 2, 1, 4, 3, 2, 1, 2, 3, 7, 1, 2, 1, 4, 2, 2, 2, 3, 2, 7, 1, 2, 1, 4, 2, 3, 1, 4, 2, 5, 1, 2, 1, 4, 3, 4, 1, 2, 2, 4]

cp's OEIS Frontend

A066743 a(n) is the number of integers of the form (n^2+1)/(k^2+1), where k = 1,2,3,...,n.

Table of values

List of values

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

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

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