A291123 - cp's OEIS frontend

A291123 Number of ways to write 4*n+1 as (p-1)^2 + q^2 + r^2, where p is prime and q and r are nonnegative integers with q <= r.

n	a(n)
0	1
1	2
2	2
3	1
4	3
5	3
6	1
7	3
8	3
9	2
10	5
11	3
12	2
13	4
14	2
15	3
16	4
17	4
18	2
19	3
20	4
21	2
22	4
23	1
24	2
25	8
26	4
27	2
28	3
29	5
30	3
31	5
32	5
33	2
34	4
35	4
36	4
37	6
38	5
39	3
40	8
41	4
42	3
43	6
44	1
45	5
46	7
47	6
48	2
49	5
50	6
51	3
52	8
53	3
54	3
55	5
56	5
57	5
58	4
59	4
60	5
61	6
62	3
63	2
64	7
65	8
66	4
67	8
68	5
69	2
70	8
71	5
72	3
73	8
74	7
75	4
76	6
77	4
78	3
79	4
80	8

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

cp's OEIS Frontend

A291123 Number of ways to write 4*n+1 as (p-1)^2 + q^2 + r^2, where p is prime and q and r are nonnegative integers with q <= r.

Table of values

List of values

n	a(n)
0	1
1	2
2	2
3	1
4	3
5	3
6	1
7	3
8	3
9	2
10	5
11	3
12	2
13	4
14	2
15	3
16	4
17	4
18	2
19	3
20	4
21	2
22	4
23	1
24	2
25	8
26	4
27	2
28	3
29	5
30	3
31	5
32	5
33	2
34	4
35	4
36	4
37	6
38	5
39	3
40	8
41	4
42	3
43	6
44	1
45	5
46	7
47	6
48	2
49	5
50	6
51	3
52	8
53	3
54	3
55	5
56	5
57	5
58	4
59	4
60	5
61	6
62	3
63	2
64	7
65	8
66	4
67	8
68	5
69	2
70	8
71	5
72	3
73	8
74	7
75	4
76	6
77	4
78	3
79	4
80	8

n	a(n)
0	1
1	2
2	2
3	1
4	3
5	3
6	1
7	3
8	3
9	2
10	5
11	3
12	2
13	4
14	2
15	3
16	4
17	4
18	2
19	3
20	4
21	2
22	4
23	1
24	2
25	8
26	4
27	2
28	3
29	5
30	3
31	5
32	5
33	2
34	4
35	4
36	4
37	6
38	5
39	3
40	8
41	4
42	3
43	6
44	1
45	5
46	7
47	6
48	2
49	5
50	6
51	3
52	8
53	3
54	3
55	5
56	5
57	5
58	4
59	4
60	5
61	6
62	3
63	2
64	7
65	8
66	4
67	8
68	5
69	2
70	8
71	5
72	3
73	8
74	7
75	4
76	6
77	4
78	3
79	4
80	8

n	a(n)
0	1
1	2
2	2
3	1
4	3
5	3
6	1
7	3
8	3
9	2
10	5
11	3
12	2
13	4
14	2
15	3
16	4
17	4
18	2
19	3
20	4
21	2
22	4
23	1
24	2
25	8
26	4
27	2
28	3
29	5
30	3
31	5
32	5
33	2
34	4
35	4
36	4
37	6
38	5
39	3
40	8
41	4
42	3
43	6
44	1
45	5
46	7
47	6
48	2
49	5
50	6
51	3
52	8
53	3
54	3
55	5
56	5
57	5
58	4
59	4
60	5
61	6
62	3
63	2
64	7
65	8
66	4
67	8
68	5
69	2
70	8
71	5
72	3
73	8
74	7
75	4
76	6
77	4
78	3
79	4
80	8