A301375 - cp's OEIS frontend

A301375 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z nonnegative integers and w a positive integer such that x(y+3z) is a cube or half a cube and y <= z <= w if x = 0.

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

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

cp's OEIS Frontend

A301375 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z nonnegative integers and w a positive integer such that x(y+3z) is a cube or half a cube and y <= z <= w if x = 0.

Table of values

List of values

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

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

cp's OEIS Frontend

A301375 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z nonnegative integers and w a positive integer such that x*(y+3*z) is a cube or half a cube and y <= z <= w if x = 0.

Table of values

List of values

A301375 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x,y,z nonnegative integers and w a positive integer such that x(y+3z) is a cube or half a cube and y <= z <= w if x = 0.

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