A272977 - cp's OEIS frontend

A272977 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with 3x^2y + z^2*w a square, where w is a nonzero integer and x,y,z are nonnegative integers with x >= z.

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

[2, 4, 1, 3, 8, 1, 1, 4, 3, 11, 3, 1, 9, 5, 3, 3, 10, 7, 6, 9, 3, 6, 1, 1, 11, 15, 4, 2, 13, 2, 2, 4, 4, 16, 5, 4, 13, 5, 2, 10, 12, 6, 5, 1, 12, 6, 1, 3, 7, 19, 2, 10, 10, 6, 3, 1, 2, 12, 7, 3, 15, 7, 4, 3, 16, 8, 6, 9, 5, 6, 1, 7, 12, 19, 3, 3, 7, 2, 4, 9]

cp's OEIS Frontend

A272977 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with 3x^2y + z^2*w a square, where w is a nonzero integer and x,y,z are nonnegative integers with x >= z.

Table of values

List of values

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

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

cp's OEIS Frontend

A272977 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with 3*x^2*y + z^2*w a square, where w is a nonzero integer and x,y,z are nonnegative integers with x >= z.

Table of values

List of values

A272977 Number of ordered ways to write n as x^2 + y^2 + z^2 + w^2 with 3x^2y + z^2*w a square, where w is a nonzero integer and x,y,z are nonnegative integers with x >= z.

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