A273108 - cp's OEIS frontend

A273108 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with (x + y)^2 + (4z)^2 a square, where x,y,z,w are nonnegative integers with x <= y > z.

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

[1, 2, 1, 1, 3, 3, 1, 2, 3, 5, 3, 1, 3, 4, 1, 1, 5, 4, 3, 3, 3, 4, 1, 3, 5, 9, 4, 1, 6, 5, 3, 2, 5, 7, 6, 3, 3, 7, 1, 5, 9, 5, 3, 3, 6, 5, 1, 1, 6, 10, 6, 3, 6, 9, 3, 4, 4, 5, 8, 1, 6, 8, 2, 1, 10, 10, 2, 5, 6, 6, 2, 4, 6, 11, 7, 3, 6, 5, 2, 3]

cp's OEIS Frontend

A273108 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with (x + y)^2 + (4z)^2 a square, where x,y,z,w are nonnegative integers with x <= y > z.

Table of values

List of values

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

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

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