A337743 - cp's OEIS frontend

A337743 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x + 2*y a power of four (including 4^0 = 1), where x, y, z, w are nonnegative integers with z <= w.

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

[1, 1, 1, 1, 3, 3, 1, 1, 3, 2, 1, 1, 2, 3, 1, 1, 3, 3, 1, 2, 4, 2, 1, 2, 2, 3, 1, 0, 3, 4, 1, 1, 3, 2, 1, 2, 2, 2, 1, 1, 5, 3, 0, 1, 3, 2, 0, 1, 1, 3, 2, 2, 5, 6, 3, 3, 5, 2, 1, 1, 4, 5, 3, 1, 6, 8, 0, 4, 9, 5, 2, 3, 4, 4, 1, 1, 7, 6, 3, 3]

cp's OEIS Frontend

A337743 Number of ways to write n as x^2 + y^2 + z^2 + w^2 with x + 2*y a power of four (including 4^0 = 1), where x, y, z, w are nonnegative integers with z <= w.

Table of values

List of values

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

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

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