A300844 - cp's OEIS frontend

A300844 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x or 2y or z is a square and (12x)^2 + (21y)^2 + (28z)^2 is also a square.

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

[1, 4, 4, 2, 5, 6, 2, 2, 4, 5, 7, 1, 3, 7, 2, 3, 5, 7, 7, 2, 6, 1, 2, 2, 2, 11, 7, 3, 3, 8, 5, 1, 4, 5, 9, 4, 6, 8, 6, 4, 7, 9, 3, 3, 2, 9, 2, 1, 3, 6, 16, 5, 9, 7, 6, 5, 1, 5, 9, 4, 4, 7, 5, 5, 5, 17, 6, 4, 7, 3, 6, 3, 6, 11, 11, 4, 3, 1, 8, 2, 6]

cp's OEIS Frontend

A300844 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x or 2y or z is a square and (12x)^2 + (21y)^2 + (28z)^2 is also a square.

Table of values

List of values

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

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

cp's OEIS Frontend

A300844 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x or 2*y or z is a square and (12*x)^2 + (21*y)^2 + (28*z)^2 is also a square.

Table of values

List of values

A300844 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z,w nonnegative integers such that x or 2y or z is a square and (12x)^2 + (21y)^2 + (28z)^2 is also a square.

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