A271719 - cp's OEIS frontend

A271719 Number of ordered ways to write n as x + y + z with x >= y > 0, z > 0 and gcd(x,y,z) = 1 such that x^2 + (2*y+z)^2 is a square.

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

[0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 3, 1, 2, 4, 3, 1, 3, 4, 3, 2, 2, 1, 4, 2, 5, 4, 5, 2, 6, 4, 7, 4, 6, 4, 8, 5, 7, 7, 10, 3, 9, 7, 10, 9, 10, 4, 8, 5, 6, 4, 9, 1, 8, 5, 7, 6, 12, 4, 17, 11, 15, 10, 15, 8, 21, 12, 15, 9]

cp's OEIS Frontend

A271719 Number of ordered ways to write n as x + y + z with x >= y > 0, z > 0 and gcd(x,y,z) = 1 such that x^2 + (2*y+z)^2 is a square.

Table of values

List of values

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

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

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