A231168 - cp's OEIS frontend

A231168 Number of ways to write n = x + y + z (x, y, z > 0) such that x^2 + y^2 + z^2 + z is a square, and 6x + 1, 6y - 1, 6*z -1 are all prime.

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	2
7	2
8	2
9	2
10	1
11	3
12	2
13	5
14	1
15	4
16	3
17	2
18	3
19	1
20	1
21	4
22	2
23	5
24	3
25	3
26	4
27	4
28	8
29	2
30	3
31	8
32	2
33	4
34	3
35	4
36	8
37	7
38	2
39	2
40	8
41	3
42	8
43	6
44	1
45	6
46	8
47	4
48	1
49	9
50	2
51	4
52	10
53	6
54	1
55	7
56	11
57	7
58	10
59	2
60	6
61	9
62	3
63	6
64	3
65	6
66	6
67	6
68	8
69	4
70	8
71	4
72	4
73	9
74	2
75	11
76	4
77	9
78	6
79	1
80	4
81	5
82	5
83	10
84	7
85	5
86	6
87	6
88	7
89	5
90	8
91	17
92	8
93	5
94	2
95	7
96	8
97	11
98	10
99	6
100	4

[0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 3, 2, 5, 1, 4, 3, 2, 3, 1, 1, 4, 2, 5, 3, 3, 4, 4, 8, 2, 3, 8, 2, 4, 3, 4, 8, 7, 2, 2, 8, 3, 8, 6, 1, 6, 8, 4, 1, 9, 2, 4, 10, 6, 1, 7, 11, 7, 10, 2, 6, 9, 3, 6, 3, 6, 6, 6, 8, 4, 8, 4, 4, 9, 2, 11, 4, 9, 6, 1, 4, 5, 5, 10, 7, 5, 6, 6, 7, 5, 8, 17, 8, 5, 2, 7, 8, 11, 10, 6, 4]

cp's OEIS Frontend

A231168 Number of ways to write n = x + y + z (x, y, z > 0) such that x^2 + y^2 + z^2 + z is a square, and 6x + 1, 6y - 1, 6*z -1 are all prime.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	2
7	2
8	2
9	2
10	1
11	3
12	2
13	5
14	1
15	4
16	3
17	2
18	3
19	1
20	1
21	4
22	2
23	5
24	3
25	3
26	4
27	4
28	8
29	2
30	3
31	8
32	2
33	4
34	3
35	4
36	8
37	7
38	2
39	2
40	8
41	3
42	8
43	6
44	1
45	6
46	8
47	4
48	1
49	9
50	2
51	4
52	10
53	6
54	1
55	7
56	11
57	7
58	10
59	2
60	6
61	9
62	3
63	6
64	3
65	6
66	6
67	6
68	8
69	4
70	8
71	4
72	4
73	9
74	2
75	11
76	4
77	9
78	6
79	1
80	4
81	5
82	5
83	10
84	7
85	5
86	6
87	6
88	7
89	5
90	8
91	17
92	8
93	5
94	2
95	7
96	8
97	11
98	10
99	6
100	4

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	2
7	2
8	2
9	2
10	1
11	3
12	2
13	5
14	1
15	4
16	3
17	2
18	3
19	1
20	1
21	4
22	2
23	5
24	3
25	3
26	4
27	4
28	8
29	2
30	3
31	8
32	2
33	4
34	3
35	4
36	8
37	7
38	2
39	2
40	8
41	3
42	8
43	6
44	1
45	6
46	8
47	4
48	1
49	9
50	2
51	4
52	10
53	6
54	1
55	7
56	11
57	7
58	10
59	2
60	6
61	9
62	3
63	6
64	3
65	6
66	6
67	6
68	8
69	4
70	8
71	4
72	4
73	9
74	2
75	11
76	4
77	9
78	6
79	1
80	4
81	5
82	5
83	10
84	7
85	5
86	6
87	6
88	7
89	5
90	8
91	17
92	8
93	5
94	2
95	7
96	8
97	11
98	10
99	6
100	4

cp's OEIS Frontend

A231168 Number of ways to write n = x + y + z (x, y, z > 0) such that x^2 + y^2 + z^2 + z is a square, and 6*x + 1, 6*y - 1, 6*z -1 are all prime.

Table of values

List of values

A231168 Number of ways to write n = x + y + z (x, y, z > 0) such that x^2 + y^2 + z^2 + z is a square, and 6x + 1, 6y - 1, 6*z -1 are all prime.

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	2
7	2
8	2
9	2
10	1
11	3
12	2
13	5
14	1
15	4
16	3
17	2
18	3
19	1
20	1
21	4
22	2
23	5
24	3
25	3
26	4
27	4
28	8
29	2
30	3
31	8
32	2
33	4
34	3
35	4
36	8
37	7
38	2
39	2
40	8
41	3
42	8
43	6
44	1
45	6
46	8
47	4
48	1
49	9
50	2
51	4
52	10
53	6
54	1
55	7
56	11
57	7
58	10
59	2
60	6
61	9
62	3
63	6
64	3
65	6
66	6
67	6
68	8
69	4
70	8
71	4
72	4
73	9
74	2
75	11
76	4
77	9
78	6
79	1
80	4
81	5
82	5
83	10
84	7
85	5
86	6
87	6
88	7
89	5
90	8
91	17
92	8
93	5
94	2
95	7
96	8
97	11
98	10
99	6
100	4