A375202 - cp's OEIS frontend

A375202 a(n) is the least integer x >= 0 such that n = x^2 + y^2 + z^2 for some integers y, z, or -1 if there is no such x.

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

[0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 2, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, -1, 2, 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 1, 0, 0, 1, -1, 0, 0, 1, 3, 2, 0, 1, -1, 4, 0, 0, 1, 0, 0, 1, -1, 2, 2, 0, 1, -1, 0, 1, -1, 0, 0, 1, 3, 0, 1, 3, -1, 0, 0, 0, 1, 2, 2, 2, -1, 0, 0, 0, 1, 2, 0, 1, -1, 4, 0, 0, 1, -1, 2, 2]

cp's OEIS Frontend

A375202 a(n) is the least integer x >= 0 such that n = x^2 + y^2 + z^2 for some integers y, z, or -1 if there is no such x.

Table of values

List of values

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

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

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