A271644 - cp's OEIS frontend

A271644 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that wx + 2x*y + 2yz is a square, where w is a positive integer and x,y,z are nonnegative integers.

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

[1, 3, 1, 1, 4, 4, 1, 3, 4, 4, 2, 2, 5, 2, 1, 1, 8, 8, 2, 5, 7, 3, 2, 4, 8, 7, 3, 2, 6, 4, 4, 3, 7, 6, 2, 4, 6, 4, 3, 4, 9, 4, 3, 4, 8, 4, 1, 2, 5, 7, 4, 7, 10, 11, 3, 2, 5, 5, 2, 2, 7, 4, 2, 1, 8, 9, 2, 8, 14, 9, 1, 8, 8, 6, 5, 4, 8, 2, 3, 5]

cp's OEIS Frontend

A271644 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that wx + 2x*y + 2yz is a square, where w is a positive integer and x,y,z are nonnegative integers.

Table of values

List of values

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

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

cp's OEIS Frontend

A271644 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that w*x + 2*x*y + 2*y*z is a square, where w is a positive integer and x,y,z are nonnegative integers.

Table of values

List of values

A271644 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that wx + 2x*y + 2yz is a square, where w is a positive integer and x,y,z are nonnegative integers.

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