A356462 - cp's OEIS frontend

A356462 a(n) is the maximum number of Z x Z lattice points inside or on a circle of radius n^(1/2) for any position of the center of the circle.

n	a(n)
0	1
1	5
2	9
3	12
4	14
5	21
6	21
7	24
8	28
9	32
10	37
11	37
12	41
13	45
14	48
15	52
16	52
17	57
18	61
19	63
20	69
21	69
22	72
23	76
24	78
25	81
26	89
27	89
28	92
29	97
30	97
31	100
32	104
33	112
34	112
35	115
36	116
37	121
38	122
39	127
40	129
41	137
42	137
43	140
44	144
45	148
46	148
47	152
48	155
49	157
50	161
51	164
52	169
53	177
54	177

[1, 5, 9, 12, 14, 21, 21, 24, 28, 32, 37, 37, 41, 45, 48, 52, 52, 57, 61, 63, 69, 69, 72, 76, 78, 81, 89, 89, 92, 97, 97, 100, 104, 112, 112, 115, 116, 121, 122, 127, 129, 137, 137, 140, 144, 148, 148, 152, 155, 157, 161, 164, 169, 177, 177]

cp's OEIS Frontend

A356462 a(n) is the maximum number of Z x Z lattice points inside or on a circle of radius n^(1/2) for any position of the center of the circle.

Table of values

List of values

n	a(n)
0	1
1	5
2	9
3	12
4	14
5	21
6	21
7	24
8	28
9	32
10	37
11	37
12	41
13	45
14	48
15	52
16	52
17	57
18	61
19	63
20	69
21	69
22	72
23	76
24	78
25	81
26	89
27	89
28	92
29	97
30	97
31	100
32	104
33	112
34	112
35	115
36	116
37	121
38	122
39	127
40	129
41	137
42	137
43	140
44	144
45	148
46	148
47	152
48	155
49	157
50	161
51	164
52	169
53	177
54	177

n	a(n)
0	1
1	5
2	9
3	12
4	14
5	21
6	21
7	24
8	28
9	32
10	37
11	37
12	41
13	45
14	48
15	52
16	52
17	57
18	61
19	63
20	69
21	69
22	72
23	76
24	78
25	81
26	89
27	89
28	92
29	97
30	97
31	100
32	104
33	112
34	112
35	115
36	116
37	121
38	122
39	127
40	129
41	137
42	137
43	140
44	144
45	148
46	148
47	152
48	155
49	157
50	161
51	164
52	169
53	177
54	177

n	a(n)
0	1
1	5
2	9
3	12
4	14
5	21
6	21
7	24
8	28
9	32
10	37
11	37
12	41
13	45
14	48
15	52
16	52
17	57
18	61
19	63
20	69
21	69
22	72
23	76
24	78
25	81
26	89
27	89
28	92
29	97
30	97
31	100
32	104
33	112
34	112
35	115
36	116
37	121
38	122
39	127
40	129
41	137
42	137
43	140
44	144
45	148
46	148
47	152
48	155
49	157
50	161
51	164
52	169
53	177
54	177