A143714 - cp's OEIS frontend

A143714 Number of pairs (a,b), 1 <= a <= b <= n, such that (a+b)^2+n^2 is a square.

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	3
7	0
8	4
9	4
10	0
11	0
12	11
13	0
14	0
15	10
16	8
17	0
18	7
19	0
20	17
21	18
22	0
23	0
24	28
25	0
26	0
27	10
28	16
29	0
30	19
31	0
32	15
33	18
34	0
35	6
36	33
37	0
38	0
39	14
40	42
41	0
42	35
43	0
44	16
45	42
46	0
47	0
48	77
49	0
50	0
51	18
52	19
53	0
54	19
55	24
56	53
57	20
58	0
59	0
60	120
61	0
62	0
63	60
64	29
65	30
66	34
67	0
68	25
69	24
70	12
71	0
72	114
73	0
74	0
75	46
76	28
77	18
78	27
79	0
80	103
81	28
82	0
83	0
84	140

[0, 0, 2, 1, 0, 3, 0, 4, 4, 0, 0, 11, 0, 0, 10, 8, 0, 7, 0, 17, 18, 0, 0, 28, 0, 0, 10, 16, 0, 19, 0, 15, 18, 0, 6, 33, 0, 0, 14, 42, 0, 35, 0, 16, 42, 0, 0, 77, 0, 0, 18, 19, 0, 19, 24, 53, 20, 0, 0, 120, 0, 0, 60, 29, 30, 34, 0, 25, 24, 12, 0, 114, 0, 0, 46, 28, 18, 27, 0, 103, 28, 0, 0, 140]

cp's OEIS Frontend

A143714 Number of pairs (a,b), 1 <= a <= b <= n, such that (a+b)^2+n^2 is a square.

Table of values

List of values

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	3
7	0
8	4
9	4
10	0
11	0
12	11
13	0
14	0
15	10
16	8
17	0
18	7
19	0
20	17
21	18
22	0
23	0
24	28
25	0
26	0
27	10
28	16
29	0
30	19
31	0
32	15
33	18
34	0
35	6
36	33
37	0
38	0
39	14
40	42
41	0
42	35
43	0
44	16
45	42
46	0
47	0
48	77
49	0
50	0
51	18
52	19
53	0
54	19
55	24
56	53
57	20
58	0
59	0
60	120
61	0
62	0
63	60
64	29
65	30
66	34
67	0
68	25
69	24
70	12
71	0
72	114
73	0
74	0
75	46
76	28
77	18
78	27
79	0
80	103
81	28
82	0
83	0
84	140

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	3
7	0
8	4
9	4
10	0
11	0
12	11
13	0
14	0
15	10
16	8
17	0
18	7
19	0
20	17
21	18
22	0
23	0
24	28
25	0
26	0
27	10
28	16
29	0
30	19
31	0
32	15
33	18
34	0
35	6
36	33
37	0
38	0
39	14
40	42
41	0
42	35
43	0
44	16
45	42
46	0
47	0
48	77
49	0
50	0
51	18
52	19
53	0
54	19
55	24
56	53
57	20
58	0
59	0
60	120
61	0
62	0
63	60
64	29
65	30
66	34
67	0
68	25
69	24
70	12
71	0
72	114
73	0
74	0
75	46
76	28
77	18
78	27
79	0
80	103
81	28
82	0
83	0
84	140

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	3
7	0
8	4
9	4
10	0
11	0
12	11
13	0
14	0
15	10
16	8
17	0
18	7
19	0
20	17
21	18
22	0
23	0
24	28
25	0
26	0
27	10
28	16
29	0
30	19
31	0
32	15
33	18
34	0
35	6
36	33
37	0
38	0
39	14
40	42
41	0
42	35
43	0
44	16
45	42
46	0
47	0
48	77
49	0
50	0
51	18
52	19
53	0
54	19
55	24
56	53
57	20
58	0
59	0
60	120
61	0
62	0
63	60
64	29
65	30
66	34
67	0
68	25
69	24
70	12
71	0
72	114
73	0
74	0
75	46
76	28
77	18
78	27
79	0
80	103
81	28
82	0
83	0
84	140