A300667 - cp's OEIS frontend

A300667 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and z <= w such that 3x or y is a square and x + 2y is also a square.

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

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

cp's OEIS Frontend

A300667 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and z <= w such that 3x or y is a square and x + 2y is also a square.

Table of values

List of values

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

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

cp's OEIS Frontend

A300667 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and z <= w such that 3*x or y is a square and x + 2*y is also a square.

Table of values

List of values

A300667 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and z <= w such that 3x or y is a square and x + 2y is also a square.

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