A300362 - cp's OEIS frontend

A300362 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 2y and (z + 2w)/3 are squares and w is even.

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

[1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 4, 1, 4, 2, 4, 1, 2, 2, 2, 3, 2, 1, 5, 1, 5, 2, 3, 3, 3, 1, 1, 2, 3, 1, 4, 3, 5, 1, 6, 6, 6, 1, 4, 6, 8, 2, 4, 4, 3, 1, 5, 3, 9, 1, 4, 4, 5, 3, 10, 4, 7, 3, 9, 2, 14, 2, 6, 2, 6, 1]

cp's OEIS Frontend

A300362 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 2y and (z + 2w)/3 are squares and w is even.

Table of values

List of values

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

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

cp's OEIS Frontend

A300362 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 2*y and (z + 2*w)/3 are squares and w is even.

Table of values

List of values

A300362 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x + 2y and (z + 2w)/3 are squares and w is even.

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