A300791 - cp's OEIS frontend

A300791 Number of ways to write n as x^2 + y^2 + z^2 + w^2, where w is a positive integer and x,y,z are nonnegative integers for which x or y or z is a square and (12x)^2 + (15y)^2 + (20*z)^2 is also a square.

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

[1, 3, 1, 1, 6, 1, 1, 3, 2, 8, 2, 2, 7, 2, 2, 1, 8, 6, 2, 8, 1, 3, 1, 1, 9, 8, 4, 3, 7, 3, 3, 3, 6, 9, 4, 4, 7, 5, 1, 8, 8, 4, 3, 3, 11, 2, 1, 1, 4, 11, 3, 8, 8, 4, 4, 2, 3, 8, 4, 2, 8, 3, 4, 1, 15, 9, 3, 9, 3, 5, 2, 6, 10, 11, 5, 3, 5, 6, 2, 6]

cp's OEIS Frontend

A300791 Number of ways to write n as x^2 + y^2 + z^2 + w^2, where w is a positive integer and x,y,z are nonnegative integers for which x or y or z is a square and (12x)^2 + (15y)^2 + (20*z)^2 is also a square.

Table of values

List of values

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

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

cp's OEIS Frontend

A300791 Number of ways to write n as x^2 + y^2 + z^2 + w^2, where w is a positive integer and x,y,z are nonnegative integers for which x or y or z is a square and (12*x)^2 + (15*y)^2 + (20*z)^2 is also a square.

Table of values

List of values

A300791 Number of ways to write n as x^2 + y^2 + z^2 + w^2, where w is a positive integer and x,y,z are nonnegative integers for which x or y or z is a square and (12x)^2 + (15y)^2 + (20*z)^2 is also a square.

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