A299537 - cp's OEIS frontend

A299537 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and z <= w such that x or y is a power of 4 (including 4^0 = 1) and x + 3*y is also a power of 4.

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

[1, 1, 1, 1, 1, 4, 1, 1, 4, 3, 1, 1, 2, 6, 1, 1, 2, 3, 1, 1, 8, 6, 2, 4, 3, 8, 3, 1, 6, 8, 4, 1, 6, 10, 3, 4, 2, 5, 6, 3, 4, 8, 1, 1, 7, 5, 1, 1, 5, 6, 4, 2, 4, 13, 5, 6, 7, 5, 5, 1, 3, 7, 2, 1, 3, 12, 6, 2, 11, 5, 5, 3, 7, 11, 2, 1, 6, 13, 5, 1]

cp's OEIS Frontend

A299537 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and z <= w such that x or y is a power of 4 (including 4^0 = 1) and x + 3*y is also a power of 4.

Table of values

List of values

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

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

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