A340129 - cp's OEIS frontend

A340129 a(n) is the number of solutions of the Diophantine equation x^2 + y^2 = z^5 + z, gcd(x, y, z) = 1, x <= y, where z = A008784(n).

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

[1, 1, 2, 4, 2, 2, 4, 4, 2, 2, 4, 4, 4, 4, 4, 2, 4, 2, 2, 2, 16, 4, 4, 4, 2, 4, 2, 4, 4, 8, 8, 8, 4, 4, 4, 2, 8, 4, 16, 4, 16, 4, 2, 4, 16, 4, 4, 16, 4, 8, 8, 8, 4, 4, 8, 4, 8, 4, 4, 4, 16, 4, 4, 8, 2, 16, 2, 32, 2, 16, 4, 4, 2, 4, 8, 16, 4, 8, 4, 8, 4, 4, 8, 4, 16]

cp's OEIS Frontend

A340129 a(n) is the number of solutions of the Diophantine equation x^2 + y^2 = z^5 + z, gcd(x, y, z) = 1, x <= y, where z = A008784(n).

Table of values

List of values

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

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

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