A275738 - cp's OEIS frontend

A275738 Number of ordered ways to write n as w^2 + x^2*(1+y^2+z^2), where w,x,y,z are nonnegative integers with x > 0, y <= z and y == z (mod 2).

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

[1, 1, 1, 2, 3, 1, 1, 1, 3, 3, 1, 3, 4, 1, 1, 2, 3, 3, 2, 5, 5, 1, 1, 1, 5, 3, 3, 5, 3, 2, 2, 1, 2, 4, 2, 7, 7, 1, 2, 3, 5, 3, 2, 3, 8, 3, 1, 3, 4, 4, 3, 9, 6, 3, 3, 1, 4, 4, 1, 6, 5, 2, 3, 2, 5, 3, 3, 5, 8, 3, 1, 3, 7, 4, 4, 8, 4, 2, 2, 5]

cp's OEIS Frontend

A275738 Number of ordered ways to write n as w^2 + x^2*(1+y^2+z^2), where w,x,y,z are nonnegative integers with x > 0, y <= z and y == z (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	3
10	3
11	1
12	3
13	4
14	1
15	1
16	2
17	3
18	3
19	2
20	5
21	5
22	1
23	1
24	1
25	5
26	3
27	3
28	5
29	3
30	2
31	2
32	1
33	2
34	4
35	2
36	7
37	7
38	1
39	2
40	3
41	5
42	3
43	2
44	3
45	8
46	3
47	1
48	3
49	4
50	4
51	3
52	9
53	6
54	3
55	3
56	1
57	4
58	4
59	1
60	6
61	5
62	2
63	3
64	2
65	5
66	3
67	3
68	5
69	8
70	3
71	1
72	3
73	7
74	4
75	4
76	8
77	4
78	2
79	2
80	5

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

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