A291047 - cp's OEIS frontend

A291047 Number of ways to write 4n+1 as p^2 + q^2 + 8r^2, where p is prime, and q and r are nonnegative integers.

n	a(n)
1	1
2	1
3	3
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	3
12	2
13	3
14	3
15	5
16	1
17	1
18	3
19	2
20	3
21	6
22	1
23	3
24	4
25	2
26	1
27	1
28	2
29	4
30	4
31	5
32	1
33	5
34	3
35	3
36	3
37	1
38	4
39	9
40	2
41	1
42	4
43	3
44	3
45	6
46	4
47	2
48	5
49	3
50	4
51	5
52	2
53	6
54	3
55	3
56	4
57	6
58	1
59	4
60	5
61	4
62	2
63	8
64	2
65	2
66	6
67	1
68	3
69	5
70	2
71	3
72	3
73	5
74	6
75	8
76	3
77	1
78	9
79	4
80	4

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

cp's OEIS Frontend

A291047 Number of ways to write 4n+1 as p^2 + q^2 + 8r^2, where p is prime, and q and r are nonnegative integers.

Table of values

List of values

n	a(n)
1	1
2	1
3	3
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	3
12	2
13	3
14	3
15	5
16	1
17	1
18	3
19	2
20	3
21	6
22	1
23	3
24	4
25	2
26	1
27	1
28	2
29	4
30	4
31	5
32	1
33	5
34	3
35	3
36	3
37	1
38	4
39	9
40	2
41	1
42	4
43	3
44	3
45	6
46	4
47	2
48	5
49	3
50	4
51	5
52	2
53	6
54	3
55	3
56	4
57	6
58	1
59	4
60	5
61	4
62	2
63	8
64	2
65	2
66	6
67	1
68	3
69	5
70	2
71	3
72	3
73	5
74	6
75	8
76	3
77	1
78	9
79	4
80	4

n	a(n)
1	1
2	1
3	3
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	3
12	2
13	3
14	3
15	5
16	1
17	1
18	3
19	2
20	3
21	6
22	1
23	3
24	4
25	2
26	1
27	1
28	2
29	4
30	4
31	5
32	1
33	5
34	3
35	3
36	3
37	1
38	4
39	9
40	2
41	1
42	4
43	3
44	3
45	6
46	4
47	2
48	5
49	3
50	4
51	5
52	2
53	6
54	3
55	3
56	4
57	6
58	1
59	4
60	5
61	4
62	2
63	8
64	2
65	2
66	6
67	1
68	3
69	5
70	2
71	3
72	3
73	5
74	6
75	8
76	3
77	1
78	9
79	4
80	4

cp's OEIS Frontend

A291047 Number of ways to write 4*n+1 as p^2 + q^2 + 8*r^2, where p is prime, and q and r are nonnegative integers.

Table of values

List of values

A291047 Number of ways to write 4n+1 as p^2 + q^2 + 8r^2, where p is prime, and q and r are nonnegative integers.

n	a(n)
1	1
2	1
3	3
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	3
12	2
13	3
14	3
15	5
16	1
17	1
18	3
19	2
20	3
21	6
22	1
23	3
24	4
25	2
26	1
27	1
28	2
29	4
30	4
31	5
32	1
33	5
34	3
35	3
36	3
37	1
38	4
39	9
40	2
41	1
42	4
43	3
44	3
45	6
46	4
47	2
48	5
49	3
50	4
51	5
52	2
53	6
54	3
55	3
56	4
57	6
58	1
59	4
60	5
61	4
62	2
63	8
64	2
65	2
66	6
67	1
68	3
69	5
70	2
71	3
72	3
73	5
74	6
75	8
76	3
77	1
78	9
79	4
80	4