A275471 - cp's OEIS frontend

A275471 Number of ordered ways to write n as 4^k*(1+x^2+y^2)+z^2, where k,x,y,z are nonnegative integers with x <= y and x == y (mod 2).

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

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

cp's OEIS Frontend

A275471 Number of ordered ways to write n as 4^k*(1+x^2+y^2)+z^2, where k,x,y,z are nonnegative integers with x <= y and x == y (mod 2).

Table of values

List of values

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

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

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