A122922 - cp's OEIS frontend

A122922 Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, minimizing the value of x, then minimizing y for that x. a(n) is that y.

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	1
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	3
20	3
21	2
22	3
23	3
24	2
25	2
26	3
27	3
28	3
29	3
30	3
31	3
32	4
33	3
34	3
35	3
36	3
37	4
38	3
39	3
40	4
41	4
42	4
43	3
44	3
45	4
46	4
47	3
48	4
49	4
50	4
51	4
52	4
53	3
54	4
55	5
56	4
57	4
58	4
59	4
60	5
61	4
62	4
63	5
64	4
65	4
66	4
67	5
68	5
69	4
70	5
71	5
72	4
73	4
74	5
75	5
76	5
77	4
78	5
79	5
80	6
81	5
82	5
83	4
84	5
85	6
86	5
87	5
88	6
89	6
90	5
91	5
92	6
93	5
94	5
95	5
96	4
97	6
98	6
99	5
100	5
101	6
102	5
103	5
104	6

[0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 6, 5, 5, 4, 5, 6, 5, 5, 6, 6, 5, 5, 6, 5, 5, 5, 4, 6, 6, 5, 5, 6, 5, 5, 6]

cp's OEIS Frontend

A122922 Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, minimizing the value of x, then minimizing y for that x. a(n) is that y.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	1
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	3
20	3
21	2
22	3
23	3
24	2
25	2
26	3
27	3
28	3
29	3
30	3
31	3
32	4
33	3
34	3
35	3
36	3
37	4
38	3
39	3
40	4
41	4
42	4
43	3
44	3
45	4
46	4
47	3
48	4
49	4
50	4
51	4
52	4
53	3
54	4
55	5
56	4
57	4
58	4
59	4
60	5
61	4
62	4
63	5
64	4
65	4
66	4
67	5
68	5
69	4
70	5
71	5
72	4
73	4
74	5
75	5
76	5
77	4
78	5
79	5
80	6
81	5
82	5
83	4
84	5
85	6
86	5
87	5
88	6
89	6
90	5
91	5
92	6
93	5
94	5
95	5
96	4
97	6
98	6
99	5
100	5
101	6
102	5
103	5
104	6

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	1
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	3
20	3
21	2
22	3
23	3
24	2
25	2
26	3
27	3
28	3
29	3
30	3
31	3
32	4
33	3
34	3
35	3
36	3
37	4
38	3
39	3
40	4
41	4
42	4
43	3
44	3
45	4
46	4
47	3
48	4
49	4
50	4
51	4
52	4
53	3
54	4
55	5
56	4
57	4
58	4
59	4
60	5
61	4
62	4
63	5
64	4
65	4
66	4
67	5
68	5
69	4
70	5
71	5
72	4
73	4
74	5
75	5
76	5
77	4
78	5
79	5
80	6
81	5
82	5
83	4
84	5
85	6
86	5
87	5
88	6
89	6
90	5
91	5
92	6
93	5
94	5
95	5
96	4
97	6
98	6
99	5
100	5
101	6
102	5
103	5
104	6

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	2
11	1
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	3
20	3
21	2
22	3
23	3
24	2
25	2
26	3
27	3
28	3
29	3
30	3
31	3
32	4
33	3
34	3
35	3
36	3
37	4
38	3
39	3
40	4
41	4
42	4
43	3
44	3
45	4
46	4
47	3
48	4
49	4
50	4
51	4
52	4
53	3
54	4
55	5
56	4
57	4
58	4
59	4
60	5
61	4
62	4
63	5
64	4
65	4
66	4
67	5
68	5
69	4
70	5
71	5
72	4
73	4
74	5
75	5
76	5
77	4
78	5
79	5
80	6
81	5
82	5
83	4
84	5
85	6
86	5
87	5
88	6
89	6
90	5
91	5
92	6
93	5
94	5
95	5
96	4
97	6
98	6
99	5
100	5
101	6
102	5
103	5
104	6