A301376 - cp's OEIS frontend

A301376 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^2-(3*y)^2 = 4^k for some k = 0,1,2,....

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

[1, 1, 2, 1, 1, 3, 1, 1, 4, 2, 2, 3, 3, 3, 3, 1, 5, 6, 2, 2, 10, 5, 4, 3, 2, 7, 7, 3, 5, 4, 3, 1, 12, 8, 2, 6, 4, 5, 10, 2, 7, 13, 8, 5, 10, 6, 6, 3, 8, 4, 7, 7, 8, 11, 4, 3, 17, 9, 5, 4, 8, 5, 9, 1, 8, 14, 8, 8, 13, 5, 8, 6, 11, 10, 7, 5, 13, 15, 7, 2]

cp's OEIS Frontend

A301376 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^2-(3*y)^2 = 4^k for some k = 0,1,2,....

Table of values

List of values

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

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

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