A122923 - cp's OEIS frontend

A122923 Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, sequentially minimizing the value of x, y and z. a(n) is that z.

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

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

cp's OEIS Frontend

A122923 Express n as the sum of four squares, x^2+y^2+z^2+w^2, x>=y>=z>=w>=0, sequentially minimizing the value of x, y and z. a(n) is that z.

Table of values

List of values

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

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

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