A301391 - cp's OEIS frontend

A301391 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and y even such that x^2 - (6*y)^2 = 4^k for some k = 0,1,2,....

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

[1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 2, 1, 1, 2, 1, 3, 4, 1, 1, 8, 2, 2, 2, 3, 2, 6, 1, 2, 2, 1, 1, 11, 3, 2, 4, 4, 3, 3, 1, 6, 10, 6, 2, 7, 2, 3, 2, 6, 3, 8, 2, 7, 7, 2, 1, 11, 4, 4, 2, 2, 1, 6, 1, 3, 11, 3, 3, 16, 3, 5, 4, 8, 5, 2, 3, 11, 5, 8, 1]

cp's OEIS Frontend

A301391 Number of ways to write n^2 as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers and y even such that x^2 - (6*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	2
7	1
8	1
9	4
10	1
11	1
12	2
13	1
14	1
15	2
16	1
17	3
18	4
19	1
20	1
21	8
22	2
23	2
24	2
25	3
26	2
27	6
28	1
29	2
30	2
31	1
32	1
33	11
34	3
35	2
36	4
37	4
38	3
39	3
40	1
41	6
42	10
43	6
44	2
45	7
46	2
47	3
48	2
49	6
50	3
51	8
52	2
53	7
54	7
55	2
56	1
57	11
58	4
59	4
60	2
61	2
62	1
63	6
64	1
65	3
66	11
67	3
68	3
69	16
70	3
71	5
72	4
73	8
74	5
75	2
76	3
77	11
78	5
79	8
80	1

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

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