A299825 - cp's OEIS frontend

A299825 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x <= y, x == y (mod 2), and |x+y-z| is a power of 4 (including 4^0 = 1).

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

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

cp's OEIS Frontend

A299825 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x <= y, x == y (mod 2), and |x+y-z| is a power of 4 (including 4^0 = 1).

Table of values

List of values

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

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

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