A291150 - cp's OEIS frontend

A291150 Number of ways to write 2n+1 as x^2 + y^2 + z^2 + 4w^2, where x,y,z,w are nonnegative integers with x <= y <= z such that 2^x + 2^y + 2^z + 1 is prime.

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

[1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 2, 1, 1, 3, 2, 3, 2, 2, 1, 6, 1, 3, 2, 3, 2, 5, 2, 3, 3, 5, 2, 5, 1, 6, 5, 6, 2, 6, 1, 5, 1, 5, 4, 8, 3, 4, 2, 2, 2, 8, 2, 6, 4, 3, 2, 4, 1, 5, 4, 7, 3, 7, 2, 7, 4, 5, 3, 10, 1, 7, 4, 5, 2, 13, 4, 6, 5, 5]

cp's OEIS Frontend

A291150 Number of ways to write 2n+1 as x^2 + y^2 + z^2 + 4w^2, where x,y,z,w are nonnegative integers with x <= y <= z such that 2^x + 2^y + 2^z + 1 is prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A291150 Number of ways to write 2*n+1 as x^2 + y^2 + z^2 + 4*w^2, where x,y,z,w are nonnegative integers with x <= y <= z such that 2^x + 2^y + 2^z + 1 is prime.

Table of values

List of values

A291150 Number of ways to write 2n+1 as x^2 + y^2 + z^2 + 4w^2, where x,y,z,w are nonnegative integers with x <= y <= z such that 2^x + 2^y + 2^z + 1 is prime.

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