A268507 - cp's OEIS frontend

A268507 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w > 0, w >= x <= y <= z such that x^2y^2 + y^2z^2 + z^2*x^2 is a square, where w,x,y,z are nonnegative integers.

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

[1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 2, 1, 2, 3, 2, 1, 4, 4, 2, 2, 3, 3, 1, 2, 3, 5, 4, 1, 5, 5, 1, 1, 5, 4, 4, 3, 2, 5, 1, 3, 7, 6, 3, 2, 5, 4, 1, 1, 5, 7, 6, 2, 5, 8, 1, 3, 4, 3, 5, 2, 5, 7, 4, 1, 8, 8, 3, 4, 6, 6, 1, 4, 6, 9, 5, 2, 6, 7, 1, 2]

cp's OEIS Frontend

A268507 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w > 0, w >= x <= y <= z such that x^2y^2 + y^2z^2 + z^2*x^2 is a square, where w,x,y,z are nonnegative integers.

Table of values

List of values

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

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

cp's OEIS Frontend

A268507 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w > 0, w >= x <= y <= z such that x^2*y^2 + y^2*z^2 + z^2*x^2 is a square, where w,x,y,z are nonnegative integers.

Table of values

List of values

A268507 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w > 0, w >= x <= y <= z such that x^2y^2 + y^2z^2 + z^2*x^2 is a square, where w,x,y,z are nonnegative integers.

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