A262746 - cp's OEIS frontend

A262746 Number of ordered ways to write n as x^2 + y^2 + pi(z^2) with 0 <= x <= y and z > 0 such that 2xy + 3 is prime, where pi(m) denotes the number of primes not exceeding m.

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

[1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 5, 1, 4, 4, 3, 3, 6, 5, 2, 4, 4, 6, 3, 2, 5, 6, 3, 1, 6, 4, 4, 4, 4, 4, 4, 4, 2, 6, 4, 3, 7, 5, 5, 4, 6, 5, 7, 2, 3, 8, 3, 5, 3, 4, 6, 7, 5, 4, 7, 4, 6, 7, 3, 4, 8, 7, 4, 3, 4, 4, 11, 3, 4, 9, 4, 4, 6, 7, 2, 9, 6, 3, 6, 4, 6, 7, 3, 5, 8, 5, 5]

cp's OEIS Frontend

A262746 Number of ordered ways to write n as x^2 + y^2 + pi(z^2) with 0 <= x <= y and z > 0 such that 2xy + 3 is prime, where pi(m) denotes the number of primes not exceeding m.

Table of values

List of values

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

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

cp's OEIS Frontend

A262746 Number of ordered ways to write n as x^2 + y^2 + pi(z^2) with 0 <= x <= y and z > 0 such that 2*x*y + 3 is prime, where pi(m) denotes the number of primes not exceeding m.

Table of values

List of values

A262746 Number of ordered ways to write n as x^2 + y^2 + pi(z^2) with 0 <= x <= y and z > 0 such that 2xy + 3 is prime, where pi(m) denotes the number of primes not exceeding m.

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