A281729 - cp's OEIS frontend

A281729 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,z positive integers and y,w nonnegative integers such that both 9x^2 + 246xy + y^2 and 9z^2 + 666zw + w^2 are squares.

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

[0, 1, 2, 1, 2, 4, 2, 1, 4, 5, 2, 2, 4, 3, 1, 1, 5, 5, 3, 4, 6, 6, 2, 4, 5, 5, 5, 3, 5, 5, 3, 1, 7, 8, 2, 5, 6, 7, 2, 5, 7, 4, 2, 3, 7, 4, 3, 2, 5, 7, 5, 6, 7, 12, 4, 3, 7, 7, 2, 1, 7, 5, 4, 1, 7, 7, 3, 7, 8, 6, 2, 5, 7, 6, 4, 4, 8, 4, 1, 4]

cp's OEIS Frontend

A281729 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,z positive integers and y,w nonnegative integers such that both 9x^2 + 246xy + y^2 and 9z^2 + 666zw + w^2 are squares.

Table of values

List of values

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

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

cp's OEIS Frontend

A281729 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,z positive integers and y,w nonnegative integers such that both 9*x^2 + 246*x*y + y^2 and 9*z^2 + 666*z*w + w^2 are squares.

Table of values

List of values

A281729 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,z positive integers and y,w nonnegative integers such that both 9x^2 + 246xy + y^2 and 9z^2 + 666zw + w^2 are squares.

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