A210641 - cp's OEIS frontend

A210641 A117609(n)-A210639(n): Difference between number of lattice points in the ball x^2+y^2+z^2 <= n and the volume of this ball rounded to the nearest integer.

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

[1, 3, 7, 5, -1, 10, 19, 3, -2, 10, 15, 18, 5, 7, 32, 8, -11, 11, 21, 18, 14, 34, 29, -1, -7, -9, 32, 31, -2, 37, 51, 16, -7, 5, 17, 28, 20, 6, 40, 1, -15, 41, 49, 32, 14, 45, 50, 7, -28, -18, 22, 25, 4, 31, 81, 34, 36, 36, 13, 37, -12, 11, 58, 8, -36, 10, 55]

cp's OEIS Frontend

A210641 A117609(n)-A210639(n): Difference between number of lattice points in the ball x^2+y^2+z^2 <= n and the volume of this ball rounded to the nearest integer.

Table of values

List of values

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

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

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