A271665 - cp's OEIS frontend

A271665 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that w^2 + 4xy + 8yz + 32zx 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	6
6	3
7	1
8	3
9	1
10	6
11	2
12	1
13	7
14	10
15	1
16	1
17	9
18	3
19	2
20	6
21	2
22	2
23	3
24	3
25	8
26	10
27	1
28	1
29	10
30	2
31	2
32	3
33	5
34	8
35	11
36	1
37	7
38	13
39	2
40	6
41	16
42	6
43	1
44	2
45	6
46	2
47	3
48	1
49	3
50	16
51	4
52	7
53	9
54	3
55	2
56	10
57	4
58	9
59	4
60	1
61	8
62	15
63	1
64	1
65	15
66	5
67	2
68	9
69	6
70	8
71	2
72	3
73	10
74	13
75	4
76	2
77	17
78	7
79	1
80	6

[1, 3, 1, 1, 6, 3, 1, 3, 1, 6, 2, 1, 7, 10, 1, 1, 9, 3, 2, 6, 2, 2, 3, 3, 8, 10, 1, 1, 10, 2, 2, 3, 5, 8, 11, 1, 7, 13, 2, 6, 16, 6, 1, 2, 6, 2, 3, 1, 3, 16, 4, 7, 9, 3, 2, 10, 4, 9, 4, 1, 8, 15, 1, 1, 15, 5, 2, 9, 6, 8, 2, 3, 10, 13, 4, 2, 17, 7, 1, 6]

cp's OEIS Frontend

A271665 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that w^2 + 4xy + 8yz + 32zx 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	6
6	3
7	1
8	3
9	1
10	6
11	2
12	1
13	7
14	10
15	1
16	1
17	9
18	3
19	2
20	6
21	2
22	2
23	3
24	3
25	8
26	10
27	1
28	1
29	10
30	2
31	2
32	3
33	5
34	8
35	11
36	1
37	7
38	13
39	2
40	6
41	16
42	6
43	1
44	2
45	6
46	2
47	3
48	1
49	3
50	16
51	4
52	7
53	9
54	3
55	2
56	10
57	4
58	9
59	4
60	1
61	8
62	15
63	1
64	1
65	15
66	5
67	2
68	9
69	6
70	8
71	2
72	3
73	10
74	13
75	4
76	2
77	17
78	7
79	1
80	6

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

cp's OEIS Frontend

A271665 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that w^2 + 4*x*y + 8*y*z + 32*z*x is a square, where w is a positive integer and x,y,z are nonnegative integers.

Table of values

List of values

A271665 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 such that w^2 + 4xy + 8yz + 32zx 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	6
6	3
7	1
8	3
9	1
10	6
11	2
12	1
13	7
14	10
15	1
16	1
17	9
18	3
19	2
20	6
21	2
22	2
23	3
24	3
25	8
26	10
27	1
28	1
29	10
30	2
31	2
32	3
33	5
34	8
35	11
36	1
37	7
38	13
39	2
40	6
41	16
42	6
43	1
44	2
45	6
46	2
47	3
48	1
49	3
50	16
51	4
52	7
53	9
54	3
55	2
56	10
57	4
58	9
59	4
60	1
61	8
62	15
63	1
64	1
65	15
66	5
67	2
68	9
69	6
70	8
71	2
72	3
73	10
74	13
75	4
76	2
77	17
78	7
79	1
80	6