A261915 - cp's OEIS frontend

A261915 Smallest x such that n can be written as n = x^2 + y^2 + z^2 with x >= y >= z >= 0, or -1 if no such x exists.

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

[0, 1, 1, 1, 2, 2, 2, -1, 2, 2, 3, 3, 2, 3, 3, -1, 4, 3, 3, 3, 4, 4, 3, -1, 4, 4, 4, 3, -1, 4, 5, -1, 4, 4, 4, 5, 4, 6, 5, -1, 6, 4, 5, 5, 6, 5, 6, -1, 4, 6, 5, 5, 6, 6, 5, -1, 6, 5, 7, 5, -1, 6, 6, -1, 8, 6, 5, 7, 6, 7, 6, -1, 6, 6, 7, 5, 6, 6, 7, -1, 8, 6, 8]

cp's OEIS Frontend

A261915 Smallest x such that n can be written as n = x^2 + y^2 + z^2 with x >= y >= z >= 0, or -1 if no such x exists.

Table of values

List of values

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

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

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