A232802 - cp's OEIS frontend

A232802 Number of solution pairs (x,y) for x <= 11 such that x! + n = y^2 (Brocard-Ramanujan Diophantine equation) is soluble over the integers.

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

[3, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0]

cp's OEIS Frontend

A232802 Number of solution pairs (x,y) for x <= 11 such that x! + n = y^2 (Brocard-Ramanujan Diophantine equation) is soluble over the integers.

Table of values

List of values

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

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

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