A291455 - cp's OEIS frontend

A291455 Number of ways to write 2n+1 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 3y + 5z + 7w, x^3 + 3y^3 + 5z^3 + 7w^3 and x^7 + 3y^7 + 5z^7 + 7w^7 are all prime.

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

[3, 2, 5, 1, 1, 2, 5, 1, 5, 3, 3, 3, 3, 4, 6, 2, 5, 1, 3, 2, 6, 3, 2, 1, 4, 4, 6, 4, 2, 6, 2, 5, 8, 3, 1, 3, 4, 10, 7, 1, 2, 5, 5, 4, 5, 2, 2, 6, 7, 4, 2, 1, 4, 4, 4, 2, 6, 9, 8, 2, 4, 7, 12, 3, 4, 2, 1, 6, 7, 1, 4, 5, 8, 4, 10, 2, 5, 3, 7, 3, 8, 7, 3, 4, 6, 2, 5, 10, 6, 7, 3, 8, 10, 7, 3, 5, 4, 5, 7, 1, 6]

cp's OEIS Frontend

A291455 Number of ways to write 2n+1 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 3y + 5z + 7w, x^3 + 3y^3 + 5z^3 + 7w^3 and x^7 + 3y^7 + 5z^7 + 7w^7 are all prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A291455 Number of ways to write 2*n+1 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 3*y + 5*z + 7*w, x^3 + 3*y^3 + 5*z^3 + 7*w^3 and x^7 + 3*y^7 + 5*z^7 + 7*w^7 are all prime.

Table of values

List of values

A291455 Number of ways to write 2n+1 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 3y + 5z + 7w, x^3 + 3y^3 + 5z^3 + 7w^3 and x^7 + 3y^7 + 5z^7 + 7w^7 are all prime.

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