A271724 - cp's OEIS frontend

A271724 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w(x+2y+3*z) a square, where w,x,y,z are nonnegative integers with x > 0.

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

[1, 3, 2, 1, 4, 4, 1, 3, 4, 6, 4, 2, 4, 7, 1, 1, 10, 8, 5, 6, 8, 5, 1, 4, 7, 10, 7, 2, 11, 13, 2, 3, 8, 9, 8, 6, 7, 13, 3, 6, 15, 8, 4, 4, 13, 8, 1, 2, 8, 15, 11, 4, 14, 18, 5, 7, 6, 6, 12, 5, 12, 17, 5, 1, 16, 21, 3, 11, 16, 12, 1, 8, 8, 18, 16, 5, 16, 12, 4, 6]

cp's OEIS Frontend

A271724 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w(x+2y+3*z) a square, where w,x,y,z are nonnegative integers with x > 0.

Table of values

List of values

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

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

cp's OEIS Frontend

A271724 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w*(x+2*y+3*z) a square, where w,x,y,z are nonnegative integers with x > 0.

Table of values

List of values

A271724 Number of ordered ways to write n as w^2 + x^2 + y^2 + z^2 with w(x+2y+3*z) a square, where w,x,y,z are nonnegative integers with x > 0.

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