A353589 - cp's OEIS frontend

A353589 Number of nondecreasing nonnegative integer quadruples (m,p,q,r) such that m^2 + p^2 + q^2 + r^2 = n^2 and m +- p +- q +- r = +- n.

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

[1, 1, 2, 2, 2, 2, 4, 2, 2, 4, 4, 4, 4, 3, 4, 6, 2, 5, 8, 5, 4, 6, 8, 5, 4, 7, 6, 9, 4, 6, 12, 6, 2, 12, 10, 9, 8, 7, 10, 10, 4, 9, 12, 9, 8, 17, 10, 9, 4, 9, 14, 16, 6, 10, 18, 17, 4, 16, 12, 12, 12, 11, 12, 17, 2, 16, 24, 13, 10, 18, 18, 13, 8, 14, 14, 26, 10, 17, 20, 14, 4, 23]

cp's OEIS Frontend

A353589 Number of nondecreasing nonnegative integer quadruples (m,p,q,r) such that m^2 + p^2 + q^2 + r^2 = n^2 and m +- p +- q +- r = +- n.

Table of values

List of values

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

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

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