A271721 - cp's OEIS frontend

A271721 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with x >= y >= z >= 0, x > 0 and w >= z such that (x-y)*(w-z) is a square.

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

[1, 2, 1, 2, 1, 2, 2, 2, 2, 3, 1, 3, 2, 2, 1, 2, 4, 5, 3, 3, 3, 2, 1, 2, 3, 5, 4, 5, 2, 2, 4, 2, 3, 5, 1, 4, 4, 5, 3, 3, 4, 5, 4, 3, 4, 2, 2, 3, 3, 5, 3, 8, 4, 6, 3, 2, 4, 6, 3, 3, 4, 4, 5, 2, 3, 7, 6, 7, 2, 3, 2, 5, 6, 8, 3, 7, 3, 2, 2, 3, 6, 11, 5, 8, 5, 8, 4, 2, 3, 8, 4, 5, 5, 3, 1, 2, 9, 10, 5, 8]

cp's OEIS Frontend

A271721 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with x >= y >= z >= 0, x > 0 and w >= z such that (x-y)*(w-z) is a square.

Table of values

List of values

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

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

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