A278085 - cp's OEIS frontend

A278085 1/4 of the number of primitive integral quadruples with sum = 3n and sum of squares = 3n^2.

n	a(n)
1	1
2	1
3	3
4	0
5	6
6	3
7	6
8	0
9	9
10	6
11	12
12	0
13	12
14	6
15	18
16	0
17	18
18	9
19	18
20	0
21	18
22	12
23	24
24	0
25	30
26	12
27	27
28	0
29	30
30	18
31	30
32	0
33	36
34	18
35	36
36	0
37	36
38	18
39	36
40	0
41	42
42	18
43	42
44	0
45	54
46	24
47	48
48	0
49	42
50	30
51	54
52	0
53	54
54	27
55	72
56	0
57	54
58	30
59	60
60	0
61	60
62	30
63	54
64	0
65	72
66	36
67	66
68	0
69	72
70	36
71	72
72	0
73	72
74	36
75	90
76	0
77	72
78	36
79	78
80	0
81	81
82	42
83	84
84	0
85	108
86	42
87	90
88	0
89	90
90	54
91	72
92	0
93	90
94	48
95	108
96	0
97	96
98	42
99	108
100	0

[1, 1, 3, 0, 6, 3, 6, 0, 9, 6, 12, 0, 12, 6, 18, 0, 18, 9, 18, 0, 18, 12, 24, 0, 30, 12, 27, 0, 30, 18, 30, 0, 36, 18, 36, 0, 36, 18, 36, 0, 42, 18, 42, 0, 54, 24, 48, 0, 42, 30, 54, 0, 54, 27, 72, 0, 54, 30, 60, 0, 60, 30, 54, 0, 72, 36, 66, 0, 72, 36, 72, 0, 72, 36, 90, 0, 72, 36, 78, 0, 81, 42, 84, 0, 108, 42, 90, 0, 90, 54, 72, 0, 90, 48, 108, 0, 96, 42, 108, 0]

cp's OEIS Frontend

A278085 1/4 of the number of primitive integral quadruples with sum = 3n and sum of squares = 3n^2.

Table of values

List of values

n	a(n)
1	1
2	1
3	3
4	0
5	6
6	3
7	6
8	0
9	9
10	6
11	12
12	0
13	12
14	6
15	18
16	0
17	18
18	9
19	18
20	0
21	18
22	12
23	24
24	0
25	30
26	12
27	27
28	0
29	30
30	18
31	30
32	0
33	36
34	18
35	36
36	0
37	36
38	18
39	36
40	0
41	42
42	18
43	42
44	0
45	54
46	24
47	48
48	0
49	42
50	30
51	54
52	0
53	54
54	27
55	72
56	0
57	54
58	30
59	60
60	0
61	60
62	30
63	54
64	0
65	72
66	36
67	66
68	0
69	72
70	36
71	72
72	0
73	72
74	36
75	90
76	0
77	72
78	36
79	78
80	0
81	81
82	42
83	84
84	0
85	108
86	42
87	90
88	0
89	90
90	54
91	72
92	0
93	90
94	48
95	108
96	0
97	96
98	42
99	108
100	0

n	a(n)
1	1
2	1
3	3
4	0
5	6
6	3
7	6
8	0
9	9
10	6
11	12
12	0
13	12
14	6
15	18
16	0
17	18
18	9
19	18
20	0
21	18
22	12
23	24
24	0
25	30
26	12
27	27
28	0
29	30
30	18
31	30
32	0
33	36
34	18
35	36
36	0
37	36
38	18
39	36
40	0
41	42
42	18
43	42
44	0
45	54
46	24
47	48
48	0
49	42
50	30
51	54
52	0
53	54
54	27
55	72
56	0
57	54
58	30
59	60
60	0
61	60
62	30
63	54
64	0
65	72
66	36
67	66
68	0
69	72
70	36
71	72
72	0
73	72
74	36
75	90
76	0
77	72
78	36
79	78
80	0
81	81
82	42
83	84
84	0
85	108
86	42
87	90
88	0
89	90
90	54
91	72
92	0
93	90
94	48
95	108
96	0
97	96
98	42
99	108
100	0

cp's OEIS Frontend

A278085 1/4 of the number of primitive integral quadruples with sum = 3*n and sum of squares = 3*n^2.

Table of values

List of values

A278085 1/4 of the number of primitive integral quadruples with sum = 3n and sum of squares = 3n^2.

n	a(n)
1	1
2	1
3	3
4	0
5	6
6	3
7	6
8	0
9	9
10	6
11	12
12	0
13	12
14	6
15	18
16	0
17	18
18	9
19	18
20	0
21	18
22	12
23	24
24	0
25	30
26	12
27	27
28	0
29	30
30	18
31	30
32	0
33	36
34	18
35	36
36	0
37	36
38	18
39	36
40	0
41	42
42	18
43	42
44	0
45	54
46	24
47	48
48	0
49	42
50	30
51	54
52	0
53	54
54	27
55	72
56	0
57	54
58	30
59	60
60	0
61	60
62	30
63	54
64	0
65	72
66	36
67	66
68	0
69	72
70	36
71	72
72	0
73	72
74	36
75	90
76	0
77	72
78	36
79	78
80	0
81	81
82	42
83	84
84	0
85	108
86	42
87	90
88	0
89	90
90	54
91	72
92	0
93	90
94	48
95	108
96	0
97	96
98	42
99	108
100	0