A275648 - cp's OEIS frontend

A275648 Number of ordered ways to write n as x^2*(1+y^2+z^2)+w^2, where x is a positive integer and y,z,w are nonnegative integers with y <= z <= w.

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

[1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 2, 4, 1, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 4, 3, 3, 5, 3, 2, 2, 1, 4, 5, 2, 5, 4, 1, 2, 4, 4, 3, 3, 2, 5, 2, 1, 2, 6, 4, 4, 7, 4, 5, 3, 2, 4, 5, 2, 4, 5, 2, 4, 2, 6, 4, 4, 4, 4, 4, 1, 4, 7, 4, 4, 7, 1, 2, 3, 3]

cp's OEIS Frontend

A275648 Number of ordered ways to write n as x^2*(1+y^2+z^2)+w^2, where x is a positive integer and y,z,w are nonnegative integers with y <= z <= w.

Table of values

List of values

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

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

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