A357928 - cp's OEIS frontend

A357928 a(n) is the smallest c for which (s+c)^2-n is a square, where s = floor(sqrt(n)), or -1 if no such c exists.

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

[0, 0, -1, 1, 0, 1, -1, 2, 1, 0, -1, 3, 1, 4, -1, 1, 0, 5, -1, 6, 2, 1, -1, 8, 1, 0, -1, 1, 3, 10, -1, 11, 1, 2, -1, 1, 0, 13, -1, 2, 1, 15, -1, 16, 6, 1, -1, 18, 1, 0, -1, 3, 7, 20, -1, 1, 2, 4, -1, 23, 1, 24, -1, 1, 0, 1, -1, 26, 10, 5, -1, 28, 1, 29, -1, 2, 12, 1, -1, 32]

cp's OEIS Frontend

A357928 a(n) is the smallest c for which (s+c)^2-n is a square, where s = floor(sqrt(n)), or -1 if no such c exists.

Table of values

List of values

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

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

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