A262785 - cp's OEIS frontend

A262785 Number of ordered ways to write n as x^2 + y^2 + p*(p+d)/2, where 0 <= x <= y, d is 1 or -1, and p is prime.

n	a(n)
1	1
2	1
3	3
4	2
5	3
6	2
7	3
8	3
9	1
10	3
11	5
12	3
13	2
14	3
15	3
16	4
17	2
18	2
19	6
20	4
21	4
22	2
23	6
24	2
25	2
26	5
27	2
28	7
29	4
30	4
31	4
32	5
33	3
34	1
35	7
36	2
37	5
38	4
39	4
40	5
41	4
42	3
43	3
44	5
45	1
46	6
47	4
48	3
49	1
50	3
51	5
52	3
53	8
54	2
55	7
56	6
57	3
58	2
59	4
60	5
61	3
62	4
63	2
64	6
65	5
66	4
67	5
68	9
69	2
70	3
71	9
72	1
73	5
74	5
75	7
76	4
77	3
78	5
79	5
80	7
81	3
82	5
83	7
84	5
85	3
86	8
87	4
88	7
89	4
90	2
91	9
92	7
93	6
94	2
95	9
96	6
97	1
98	3
99	3
100	9

[1, 1, 3, 2, 3, 2, 3, 3, 1, 3, 5, 3, 2, 3, 3, 4, 2, 2, 6, 4, 4, 2, 6, 2, 2, 5, 2, 7, 4, 4, 4, 5, 3, 1, 7, 2, 5, 4, 4, 5, 4, 3, 3, 5, 1, 6, 4, 3, 1, 3, 5, 3, 8, 2, 7, 6, 3, 2, 4, 5, 3, 4, 2, 6, 5, 4, 5, 9, 2, 3, 9, 1, 5, 5, 7, 4, 3, 5, 5, 7, 3, 5, 7, 5, 3, 8, 4, 7, 4, 2, 9, 7, 6, 2, 9, 6, 1, 3, 3, 9]

cp's OEIS Frontend

A262785 Number of ordered ways to write n as x^2 + y^2 + p*(p+d)/2, where 0 <= x <= y, d is 1 or -1, and p is prime.

Table of values

List of values

n	a(n)
1	1
2	1
3	3
4	2
5	3
6	2
7	3
8	3
9	1
10	3
11	5
12	3
13	2
14	3
15	3
16	4
17	2
18	2
19	6
20	4
21	4
22	2
23	6
24	2
25	2
26	5
27	2
28	7
29	4
30	4
31	4
32	5
33	3
34	1
35	7
36	2
37	5
38	4
39	4
40	5
41	4
42	3
43	3
44	5
45	1
46	6
47	4
48	3
49	1
50	3
51	5
52	3
53	8
54	2
55	7
56	6
57	3
58	2
59	4
60	5
61	3
62	4
63	2
64	6
65	5
66	4
67	5
68	9
69	2
70	3
71	9
72	1
73	5
74	5
75	7
76	4
77	3
78	5
79	5
80	7
81	3
82	5
83	7
84	5
85	3
86	8
87	4
88	7
89	4
90	2
91	9
92	7
93	6
94	2
95	9
96	6
97	1
98	3
99	3
100	9

n	a(n)
1	1
2	1
3	3
4	2
5	3
6	2
7	3
8	3
9	1
10	3
11	5
12	3
13	2
14	3
15	3
16	4
17	2
18	2
19	6
20	4
21	4
22	2
23	6
24	2
25	2
26	5
27	2
28	7
29	4
30	4
31	4
32	5
33	3
34	1
35	7
36	2
37	5
38	4
39	4
40	5
41	4
42	3
43	3
44	5
45	1
46	6
47	4
48	3
49	1
50	3
51	5
52	3
53	8
54	2
55	7
56	6
57	3
58	2
59	4
60	5
61	3
62	4
63	2
64	6
65	5
66	4
67	5
68	9
69	2
70	3
71	9
72	1
73	5
74	5
75	7
76	4
77	3
78	5
79	5
80	7
81	3
82	5
83	7
84	5
85	3
86	8
87	4
88	7
89	4
90	2
91	9
92	7
93	6
94	2
95	9
96	6
97	1
98	3
99	3
100	9

n	a(n)
1	1
2	1
3	3
4	2
5	3
6	2
7	3
8	3
9	1
10	3
11	5
12	3
13	2
14	3
15	3
16	4
17	2
18	2
19	6
20	4
21	4
22	2
23	6
24	2
25	2
26	5
27	2
28	7
29	4
30	4
31	4
32	5
33	3
34	1
35	7
36	2
37	5
38	4
39	4
40	5
41	4
42	3
43	3
44	5
45	1
46	6
47	4
48	3
49	1
50	3
51	5
52	3
53	8
54	2
55	7
56	6
57	3
58	2
59	4
60	5
61	3
62	4
63	2
64	6
65	5
66	4
67	5
68	9
69	2
70	3
71	9
72	1
73	5
74	5
75	7
76	4
77	3
78	5
79	5
80	7
81	3
82	5
83	7
84	5
85	3
86	8
87	4
88	7
89	4
90	2
91	9
92	7
93	6
94	2
95	9
96	6
97	1
98	3
99	3
100	9