A014455 - cp's OEIS frontend

A014455 Theta series of quadratic form with Gram matrix [ 1, 0, 0; 0, 1, 0; 0, 0, 2 ]. Number of integer solutions to x^2 + y^2 + 2*z^2 = n.

n	a(n)
0	1
1	4
2	6
3	8
4	12
5	8
6	8
7	16
8	6
9	12
10	24
11	8
12	24
13	24
14	0
15	16
16	12
17	16
18	30
19	24
20	24
21	16
22	24
23	16
24	8
25	28
26	24
27	32
28	48
29	8
30	0
31	32
32	6
33	32
34	48
35	16
36	36
37	40
38	24
39	16
40	24
41	16
42	48
43	40
44	24
45	40
46	0
47	32
48	24
49	36
50	30
51	16
52	72
53	24
54	32
55	48
56	0
57	32
58	72
59	24
60	48
61	40
62	0
63	48
64	12
65	16
66	48
67	56
68	48
69	32
70	48
71	16
72	30
73	64

[1, 4, 6, 8, 12, 8, 8, 16, 6, 12, 24, 8, 24, 24, 0, 16, 12, 16, 30, 24, 24, 16, 24, 16, 8, 28, 24, 32, 48, 8, 0, 32, 6, 32, 48, 16, 36, 40, 24, 16, 24, 16, 48, 40, 24, 40, 0, 32, 24, 36, 30, 16, 72, 24, 32, 48, 0, 32, 72, 24, 48, 40, 0, 48, 12, 16, 48, 56, 48, 32, 48, 16, 30, 64]

cp's OEIS Frontend

A014455 Theta series of quadratic form with Gram matrix [ 1, 0, 0; 0, 1, 0; 0, 0, 2 ]. Number of integer solutions to x^2 + y^2 + 2*z^2 = n.

Table of values

List of values

n	a(n)
0	1
1	4
2	6
3	8
4	12
5	8
6	8
7	16
8	6
9	12
10	24
11	8
12	24
13	24
14	0
15	16
16	12
17	16
18	30
19	24
20	24
21	16
22	24
23	16
24	8
25	28
26	24
27	32
28	48
29	8
30	0
31	32
32	6
33	32
34	48
35	16
36	36
37	40
38	24
39	16
40	24
41	16
42	48
43	40
44	24
45	40
46	0
47	32
48	24
49	36
50	30
51	16
52	72
53	24
54	32
55	48
56	0
57	32
58	72
59	24
60	48
61	40
62	0
63	48
64	12
65	16
66	48
67	56
68	48
69	32
70	48
71	16
72	30
73	64

n	a(n)
0	1
1	4
2	6
3	8
4	12
5	8
6	8
7	16
8	6
9	12
10	24
11	8
12	24
13	24
14	0
15	16
16	12
17	16
18	30
19	24
20	24
21	16
22	24
23	16
24	8
25	28
26	24
27	32
28	48
29	8
30	0
31	32
32	6
33	32
34	48
35	16
36	36
37	40
38	24
39	16
40	24
41	16
42	48
43	40
44	24
45	40
46	0
47	32
48	24
49	36
50	30
51	16
52	72
53	24
54	32
55	48
56	0
57	32
58	72
59	24
60	48
61	40
62	0
63	48
64	12
65	16
66	48
67	56
68	48
69	32
70	48
71	16
72	30
73	64

n	a(n)
0	1
1	4
2	6
3	8
4	12
5	8
6	8
7	16
8	6
9	12
10	24
11	8
12	24
13	24
14	0
15	16
16	12
17	16
18	30
19	24
20	24
21	16
22	24
23	16
24	8
25	28
26	24
27	32
28	48
29	8
30	0
31	32
32	6
33	32
34	48
35	16
36	36
37	40
38	24
39	16
40	24
41	16
42	48
43	40
44	24
45	40
46	0
47	32
48	24
49	36
50	30
51	16
52	72
53	24
54	32
55	48
56	0
57	32
58	72
59	24
60	48
61	40
62	0
63	48
64	12
65	16
66	48
67	56
68	48
69	32
70	48
71	16
72	30
73	64