A290935 - cp's OEIS frontend

A290935 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 p = x^2 + 3y^2 + 5z^2 + 7w^2 and p - 2 are twin prime.

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

[2, 1, 4, 2, 1, 1, 4, 2, 2, 6, 2, 1, 6, 1, 2, 8, 5, 3, 7, 1, 4, 10, 3, 2, 9, 4, 8, 7, 5, 5, 11, 4, 7, 8, 4, 3, 10, 5, 6, 10, 7, 4, 16, 4, 9, 10, 2, 3, 11, 7, 5, 8, 3, 7, 13, 4, 4, 16, 2, 6, 15, 1, 4, 10, 6, 6, 13, 7, 2, 13, 8, 9, 15, 4, 12, 8, 7, 5, 7, 2, 9]

cp's OEIS Frontend

A290935 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 p = x^2 + 3y^2 + 5z^2 + 7w^2 and p - 2 are twin prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A290935 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 p = x^2 + 3*y^2 + 5*z^2 + 7*w^2 and p - 2 are twin prime.

Table of values

List of values

A290935 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 p = x^2 + 3y^2 + 5z^2 + 7w^2 and p - 2 are twin prime.

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