A300666 - cp's OEIS frontend

A300666 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with nonnegative integers x,y,z,w and z <= w such that x or 2y is a square and x + 3y is also a square.

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

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

cp's OEIS Frontend

A300666 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with nonnegative integers x,y,z,w and z <= w such that x or 2y is a square and x + 3y is also a square.

Table of values

List of values

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

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

cp's OEIS Frontend

A300666 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with nonnegative integers x,y,z,w and z <= w such that x or 2*y is a square and x + 3*y is also a square.

Table of values

List of values

A300666 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with nonnegative integers x,y,z,w and z <= w such that x or 2y is a square and x + 3y is also a square.

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