A282561 - cp's OEIS frontend

A282561 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that both 2x - y and 4z^2 + 724zw + w^2 are squares.

n	a(n)
0	1
1	2
2	2
3	2
4	4
5	3
6	5
7	1
8	3
9	4
10	2
11	2
12	2
13	5
14	7
15	3
16	2
17	5
18	3
19	1
20	4
21	7
22	7
23	3
24	2
25	2
26	2
27	4
28	3
29	8
30	8
31	3
32	2
33	2
34	4
35	4
36	9
37	3
38	9
39	3
40	4
41	5
42	6
43	3
44	3
45	7
46	5
47	2
48	2
49	11
50	6
51	5
52	4
53	7
54	7
55	4
56	2
57	4
58	3
59	2
60	2
61	5
62	10
63	6
64	4
65	5
66	9
67	1
68	7
69	8
70	10
71	4
72	4
73	5
74	6
75	5
76	3
77	9
78	3
79	2
80	3

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

cp's OEIS Frontend

A282561 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that both 2x - y and 4z^2 + 724zw + w^2 are squares.

Table of values

List of values

n	a(n)
0	1
1	2
2	2
3	2
4	4
5	3
6	5
7	1
8	3
9	4
10	2
11	2
12	2
13	5
14	7
15	3
16	2
17	5
18	3
19	1
20	4
21	7
22	7
23	3
24	2
25	2
26	2
27	4
28	3
29	8
30	8
31	3
32	2
33	2
34	4
35	4
36	9
37	3
38	9
39	3
40	4
41	5
42	6
43	3
44	3
45	7
46	5
47	2
48	2
49	11
50	6
51	5
52	4
53	7
54	7
55	4
56	2
57	4
58	3
59	2
60	2
61	5
62	10
63	6
64	4
65	5
66	9
67	1
68	7
69	8
70	10
71	4
72	4
73	5
74	6
75	5
76	3
77	9
78	3
79	2
80	3

n	a(n)
0	1
1	2
2	2
3	2
4	4
5	3
6	5
7	1
8	3
9	4
10	2
11	2
12	2
13	5
14	7
15	3
16	2
17	5
18	3
19	1
20	4
21	7
22	7
23	3
24	2
25	2
26	2
27	4
28	3
29	8
30	8
31	3
32	2
33	2
34	4
35	4
36	9
37	3
38	9
39	3
40	4
41	5
42	6
43	3
44	3
45	7
46	5
47	2
48	2
49	11
50	6
51	5
52	4
53	7
54	7
55	4
56	2
57	4
58	3
59	2
60	2
61	5
62	10
63	6
64	4
65	5
66	9
67	1
68	7
69	8
70	10
71	4
72	4
73	5
74	6
75	5
76	3
77	9
78	3
79	2
80	3

cp's OEIS Frontend

A282561 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that both 2*x - y and 4*z^2 + 724*z*w + w^2 are squares.

Table of values

List of values

A282561 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that both 2x - y and 4z^2 + 724zw + w^2 are squares.

n	a(n)
0	1
1	2
2	2
3	2
4	4
5	3
6	5
7	1
8	3
9	4
10	2
11	2
12	2
13	5
14	7
15	3
16	2
17	5
18	3
19	1
20	4
21	7
22	7
23	3
24	2
25	2
26	2
27	4
28	3
29	8
30	8
31	3
32	2
33	2
34	4
35	4
36	9
37	3
38	9
39	3
40	4
41	5
42	6
43	3
44	3
45	7
46	5
47	2
48	2
49	11
50	6
51	5
52	4
53	7
54	7
55	4
56	2
57	4
58	3
59	2
60	2
61	5
62	10
63	6
64	4
65	5
66	9
67	1
68	7
69	8
70	10
71	4
72	4
73	5
74	6
75	5
76	3
77	9
78	3
79	2
80	3