A300792 - cp's OEIS frontend

A300792 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 such that x or y or z is a square and 9x^2 + 16y^2 + 24*z^2 is also a square.

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

[1, 2, 1, 2, 4, 1, 2, 2, 2, 6, 2, 3, 5, 1, 4, 1, 5, 7, 4, 5, 1, 5, 2, 1, 9, 6, 5, 3, 4, 7, 2, 2, 6, 7, 3, 5, 7, 4, 4, 6, 6, 4, 5, 3, 9, 4, 2, 1, 4, 11, 5, 9, 5, 6, 4, 1, 9, 7, 3, 6, 5, 4, 4, 2, 14, 4, 6, 5, 2, 8, 2, 7, 9, 5, 5, 4, 3, 8, 1, 4]

cp's OEIS Frontend

A300792 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 such that x or y or z is a square and 9x^2 + 16y^2 + 24*z^2 is also a square.

Table of values

List of values

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

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

cp's OEIS Frontend

A300792 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 such that x or y or z is a square and 9*x^2 + 16*y^2 + 24*z^2 is also a square.

Table of values

List of values

A300792 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 such that x or y or z is a square and 9x^2 + 16y^2 + 24*z^2 is also a square.

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