A351902 - cp's OEIS frontend

A351902 Number of ways to write n as w^2 + x^2 + y^2 + z^2 + 3xy*z, where w is a positive integer, and x,y,z are nonnegative integers with x <= y <= z.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	3
11	2
12	1
13	3
14	3
15	1
16	2
17	4
18	3
19	2
20	2
21	5
22	4
23	0
24	3
25	4
26	5
27	3
28	1
29	6
30	4
31	2
32	1
33	5
34	5
35	3
36	5
37	5
38	5
39	1
40	3
41	8
42	4
43	3
44	2
45	7
46	7
47	1
48	3
49	5
50	7
51	5
52	3
53	5
54	9
55	3
56	4
57	8
58	3
59	5
60	1
61	9
62	8
63	1
64	2
65	8
66	9
67	3
68	5
69	9
70	6
71	2
72	5
73	6
74	8
75	4
76	6
77	7
78	7
79	1
80	3
81	15
82	6
83	5
84	5
85	9
86	9
87	2
88	4
89	12
90	9
91	5
92	2
93	5
94	10
95	1
96	5
97	9
98	8
99	7
100	5

[1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 2, 1, 3, 3, 1, 2, 4, 3, 2, 2, 5, 4, 0, 3, 4, 5, 3, 1, 6, 4, 2, 1, 5, 5, 3, 5, 5, 5, 1, 3, 8, 4, 3, 2, 7, 7, 1, 3, 5, 7, 5, 3, 5, 9, 3, 4, 8, 3, 5, 1, 9, 8, 1, 2, 8, 9, 3, 5, 9, 6, 2, 5, 6, 8, 4, 6, 7, 7, 1, 3, 15, 6, 5, 5, 9, 9, 2, 4, 12, 9, 5, 2, 5, 10, 1, 5, 9, 8, 7, 5]

cp's OEIS Frontend

A351902 Number of ways to write n as w^2 + x^2 + y^2 + z^2 + 3xy*z, where w is a positive integer, and x,y,z are nonnegative integers with x <= y <= z.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	3
11	2
12	1
13	3
14	3
15	1
16	2
17	4
18	3
19	2
20	2
21	5
22	4
23	0
24	3
25	4
26	5
27	3
28	1
29	6
30	4
31	2
32	1
33	5
34	5
35	3
36	5
37	5
38	5
39	1
40	3
41	8
42	4
43	3
44	2
45	7
46	7
47	1
48	3
49	5
50	7
51	5
52	3
53	5
54	9
55	3
56	4
57	8
58	3
59	5
60	1
61	9
62	8
63	1
64	2
65	8
66	9
67	3
68	5
69	9
70	6
71	2
72	5
73	6
74	8
75	4
76	6
77	7
78	7
79	1
80	3
81	15
82	6
83	5
84	5
85	9
86	9
87	2
88	4
89	12
90	9
91	5
92	2
93	5
94	10
95	1
96	5
97	9
98	8
99	7
100	5

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	3
11	2
12	1
13	3
14	3
15	1
16	2
17	4
18	3
19	2
20	2
21	5
22	4
23	0
24	3
25	4
26	5
27	3
28	1
29	6
30	4
31	2
32	1
33	5
34	5
35	3
36	5
37	5
38	5
39	1
40	3
41	8
42	4
43	3
44	2
45	7
46	7
47	1
48	3
49	5
50	7
51	5
52	3
53	5
54	9
55	3
56	4
57	8
58	3
59	5
60	1
61	9
62	8
63	1
64	2
65	8
66	9
67	3
68	5
69	9
70	6
71	2
72	5
73	6
74	8
75	4
76	6
77	7
78	7
79	1
80	3
81	15
82	6
83	5
84	5
85	9
86	9
87	2
88	4
89	12
90	9
91	5
92	2
93	5
94	10
95	1
96	5
97	9
98	8
99	7
100	5

cp's OEIS Frontend

A351902 Number of ways to write n as w^2 + x^2 + y^2 + z^2 + 3*x*y*z, where w is a positive integer, and x,y,z are nonnegative integers with x <= y <= z.

Table of values

List of values

A351902 Number of ways to write n as w^2 + x^2 + y^2 + z^2 + 3xy*z, where w is a positive integer, and x,y,z are nonnegative integers with x <= y <= z.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	3
11	2
12	1
13	3
14	3
15	1
16	2
17	4
18	3
19	2
20	2
21	5
22	4
23	0
24	3
25	4
26	5
27	3
28	1
29	6
30	4
31	2
32	1
33	5
34	5
35	3
36	5
37	5
38	5
39	1
40	3
41	8
42	4
43	3
44	2
45	7
46	7
47	1
48	3
49	5
50	7
51	5
52	3
53	5
54	9
55	3
56	4
57	8
58	3
59	5
60	1
61	9
62	8
63	1
64	2
65	8
66	9
67	3
68	5
69	9
70	6
71	2
72	5
73	6
74	8
75	4
76	6
77	7
78	7
79	1
80	3
81	15
82	6
83	5
84	5
85	9
86	9
87	2
88	4
89	12
90	9
91	5
92	2
93	5
94	10
95	1
96	5
97	9
98	8
99	7
100	5