A338940 - cp's OEIS frontend

A338940 a(n) is the number of solutions to the Diophantine equation p * x * (x + n) = y^2 with p = a*b a perfect square and a+b = n.

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	1
9	0
10	3
11	0
12	1
13	1
14	1
15	4
16	2
17	1
18	2
19	0
20	3
21	0
22	1
23	0
24	4
25	4
26	3
27	0
28	1
29	1
30	12
31	0
32	3
33	0
34	3
35	4
36	2
37	1
38	1
39	4
40	12
41	1
42	4
43	0
44	1
45	7
46	1
47	0
48	7
49	0
50	10
51	4
52	3
53	1
54	3
55	4
56	4
57	0
58	3
59	0
60	12
61	1
62	1
63	0
64	4
65	16
66	4
67	0
68	3
69	0
70	12
71	0
72	7
73	1
74	3
75	14
76	1
77	0
78	12
79	0
80	21
81	0
82	3
83	0
84	4
85	16
86	1
87	4
88	4
89	1
90	21
91	4
92	1
93	0
94	1
95	4
96	10
97	1
98	2
99	0
100	10

[0, 0, 0, 0, 1, 1, 0, 1, 0, 3, 0, 1, 1, 1, 4, 2, 1, 2, 0, 3, 0, 1, 0, 4, 4, 3, 0, 1, 1, 12, 0, 3, 0, 3, 4, 2, 1, 1, 4, 12, 1, 4, 0, 1, 7, 1, 0, 7, 0, 10, 4, 3, 1, 3, 4, 4, 0, 3, 0, 12, 1, 1, 0, 4, 16, 4, 0, 3, 0, 12, 0, 7, 1, 3, 14, 1, 0, 12, 0, 21, 0, 3, 0, 4, 16, 1, 4, 4, 1, 21, 4, 1, 0, 1, 4, 10, 1, 2, 0, 10]

cp's OEIS Frontend

A338940 a(n) is the number of solutions to the Diophantine equation p * x * (x + n) = y^2 with p = a*b a perfect square and a+b = n.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	1
9	0
10	3
11	0
12	1
13	1
14	1
15	4
16	2
17	1
18	2
19	0
20	3
21	0
22	1
23	0
24	4
25	4
26	3
27	0
28	1
29	1
30	12
31	0
32	3
33	0
34	3
35	4
36	2
37	1
38	1
39	4
40	12
41	1
42	4
43	0
44	1
45	7
46	1
47	0
48	7
49	0
50	10
51	4
52	3
53	1
54	3
55	4
56	4
57	0
58	3
59	0
60	12
61	1
62	1
63	0
64	4
65	16
66	4
67	0
68	3
69	0
70	12
71	0
72	7
73	1
74	3
75	14
76	1
77	0
78	12
79	0
80	21
81	0
82	3
83	0
84	4
85	16
86	1
87	4
88	4
89	1
90	21
91	4
92	1
93	0
94	1
95	4
96	10
97	1
98	2
99	0
100	10

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	1
9	0
10	3
11	0
12	1
13	1
14	1
15	4
16	2
17	1
18	2
19	0
20	3
21	0
22	1
23	0
24	4
25	4
26	3
27	0
28	1
29	1
30	12
31	0
32	3
33	0
34	3
35	4
36	2
37	1
38	1
39	4
40	12
41	1
42	4
43	0
44	1
45	7
46	1
47	0
48	7
49	0
50	10
51	4
52	3
53	1
54	3
55	4
56	4
57	0
58	3
59	0
60	12
61	1
62	1
63	0
64	4
65	16
66	4
67	0
68	3
69	0
70	12
71	0
72	7
73	1
74	3
75	14
76	1
77	0
78	12
79	0
80	21
81	0
82	3
83	0
84	4
85	16
86	1
87	4
88	4
89	1
90	21
91	4
92	1
93	0
94	1
95	4
96	10
97	1
98	2
99	0
100	10

n	a(n)
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	1
9	0
10	3
11	0
12	1
13	1
14	1
15	4
16	2
17	1
18	2
19	0
20	3
21	0
22	1
23	0
24	4
25	4
26	3
27	0
28	1
29	1
30	12
31	0
32	3
33	0
34	3
35	4
36	2
37	1
38	1
39	4
40	12
41	1
42	4
43	0
44	1
45	7
46	1
47	0
48	7
49	0
50	10
51	4
52	3
53	1
54	3
55	4
56	4
57	0
58	3
59	0
60	12
61	1
62	1
63	0
64	4
65	16
66	4
67	0
68	3
69	0
70	12
71	0
72	7
73	1
74	3
75	14
76	1
77	0
78	12
79	0
80	21
81	0
82	3
83	0
84	4
85	16
86	1
87	4
88	4
89	1
90	21
91	4
92	1
93	0
94	1
95	4
96	10
97	1
98	2
99	0
100	10