A105970 - cp's OEIS frontend

A105970 Number of ordered integral solutions of Descartes' equation 2(a^2 + b^2 + c^2 + d^2) = (a + b + c + d)^2 with a + b + c + d = 4n - 2.

n	a(n)
1	1
2	2
3	1
4	2
5	4
6	4
7	3
8	4
9	5
10	6
11	8
12	6
13	5
14	10
15	7
16	8
17	14
18	8
19	9
20	12
21	11
22	12
23	12
24	12
25	14
26	18
27	13
28	12
29	22
30	16
31	15
32	24
33	12
34	18
35	24
36	18
37	19
38	20
39	24
40	20
41	28
42	22
43	16
44	28
45	23
46	24
47	32
48	20
49	25
50	38

[1, 2, 1, 2, 4, 4, 3, 4, 5, 6, 8, 6, 5, 10, 7, 8, 14, 8, 9, 12, 11, 12, 12, 12, 14, 18, 13, 12, 22, 16, 15, 24, 12, 18, 24, 18, 19, 20, 24, 20, 28, 22, 16, 28, 23, 24, 32, 20, 25, 38]

cp's OEIS Frontend

A105970 Number of ordered integral solutions of Descartes' equation 2(a^2 + b^2 + c^2 + d^2) = (a + b + c + d)^2 with a + b + c + d = 4n - 2.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	2
5	4
6	4
7	3
8	4
9	5
10	6
11	8
12	6
13	5
14	10
15	7
16	8
17	14
18	8
19	9
20	12
21	11
22	12
23	12
24	12
25	14
26	18
27	13
28	12
29	22
30	16
31	15
32	24
33	12
34	18
35	24
36	18
37	19
38	20
39	24
40	20
41	28
42	22
43	16
44	28
45	23
46	24
47	32
48	20
49	25
50	38

n	a(n)
1	1
2	2
3	1
4	2
5	4
6	4
7	3
8	4
9	5
10	6
11	8
12	6
13	5
14	10
15	7
16	8
17	14
18	8
19	9
20	12
21	11
22	12
23	12
24	12
25	14
26	18
27	13
28	12
29	22
30	16
31	15
32	24
33	12
34	18
35	24
36	18
37	19
38	20
39	24
40	20
41	28
42	22
43	16
44	28
45	23
46	24
47	32
48	20
49	25
50	38

n	a(n)
1	1
2	2
3	1
4	2
5	4
6	4
7	3
8	4
9	5
10	6
11	8
12	6
13	5
14	10
15	7
16	8
17	14
18	8
19	9
20	12
21	11
22	12
23	12
24	12
25	14
26	18
27	13
28	12
29	22
30	16
31	15
32	24
33	12
34	18
35	24
36	18
37	19
38	20
39	24
40	20
41	28
42	22
43	16
44	28
45	23
46	24
47	32
48	20
49	25
50	38