A272620 - cp's OEIS frontend

A272620 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w + x + y - z a square, where w is an integer and x,y,z are nonnegative integers with |w| <= x >= y <= z < x + y.

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

[1, 1, 1, 1, 2, 1, 1, 2, 1, 4, 1, 1, 3, 3, 2, 3, 1, 7, 1, 2, 3, 2, 1, 3, 3, 7, 2, 3, 1, 7, 1, 1, 4, 5, 3, 2, 1, 9, 2, 5, 3, 6, 5, 3, 3, 7, 2, 2, 5, 6, 3, 3, 5, 9, 4, 4, 4, 9, 4, 4, 5, 6, 6, 1, 6, 12, 2, 2, 7, 4, 4, 6, 5, 11, 7, 3, 5, 9, 4, 5]

cp's OEIS Frontend

A272620 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w + x + y - z a square, where w is an integer and x,y,z are nonnegative integers with |w| <= x >= y <= z < x + y.

Table of values

List of values

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

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

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