A300360 - cp's OEIS frontend

A300360 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 2 (including 1) and x + 63*y = 2^(2k+1) for some k = 0,1,2,....

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

[0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 1, 3, 1, 3, 4, 2, 2, 4, 1, 2, 1, 1, 2, 4, 3, 1, 1, 2, 1, 6, 2, 2, 2, 5, 1, 4, 1, 2, 6, 3, 3, 3, 1, 2, 3, 4, 3, 3, 2, 4, 2, 2, 1, 7, 3, 1, 4, 1, 2, 8, 1, 3, 7, 3, 4, 6, 3, 4, 4, 6, 4, 3, 2, 4, 3, 1, 2]

cp's OEIS Frontend

A300360 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 2 (including 1) and x + 63*y = 2^(2k+1) for some k = 0,1,2,....

Table of values

List of values

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

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

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