A291191 - cp's OEIS frontend

A291191 Number of ways to write 2*n+1 as x^2 + y^2 + z^2 + w^2, where x,y,z,w are nonnegative integers with x <= y, z <= w and x + y < z + w such that 2^(x+y) + 2^(z+w) + 1 is prime.

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

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

cp's OEIS Frontend

A291191 Number of ways to write 2*n+1 as x^2 + y^2 + z^2 + w^2, where x,y,z,w are nonnegative integers with x <= y, z <= w and x + y < z + w such that 2^(x+y) + 2^(z+w) + 1 is prime.

Table of values

List of values

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

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

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