A263850 - cp's OEIS frontend

A263850 Let R = Z[(1+sqrt(5))/2] denote the ring of integers in the real quadratic number field of discriminant 5. Then a(n) is the largest integer k such that every totally positive element of norm n in R can be written as a sum of three squares in R in at least k ways, or 0 if there is no totally positive element of norm n.

n	a(n)
0	1
1	6
2	0
3	0
4	12
5	24
6	0
7	0
8	0
9	32
10	0
11	24
12	0
13	0
14	0
15	0
16	54
17	0
18	0
19	24
20	24
21	0
22	0
23	0
24	0
25	30
26	0
27	0
28	0
29	24
30	0
31	48
32	0
33	0
34	0
35	0
36	48
37	0
38	0
39	0
40	0
41	96
42	0
43	0
44	24
45	48
46	0
47	0
48	0
49	96
50	0
51	0
52	0
53	0
54	0
55	48
56	0
57	0
58	0
59	24
60	0
61	120
62	0
63	0
64	108
65	0
66	0
67	0
68	0
69	0
70	0
71	48
72	0
73	0
74	0
75	0
76	72
77	0
78	0
79	48
80	120
81	54
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	48
90	0
91	0
92	0

[1, 6, 0, 0, 12, 24, 0, 0, 0, 32, 0, 24, 0, 0, 0, 0, 54, 0, 0, 24, 24, 0, 0, 0, 0, 30, 0, 0, 0, 24, 0, 48, 0, 0, 0, 0, 48, 0, 0, 0, 0, 96, 0, 0, 24, 48, 0, 0, 0, 96, 0, 0, 0, 0, 0, 48, 0, 0, 0, 24, 0, 120, 0, 0, 108, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 72, 0, 0, 48, 120, 54, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
0	1
1	6
2	0
3	0
4	12
5	24
6	0
7	0
8	0
9	32
10	0
11	24
12	0
13	0
14	0
15	0
16	54
17	0
18	0
19	24
20	24
21	0
22	0
23	0
24	0
25	30
26	0
27	0
28	0
29	24
30	0
31	48
32	0
33	0
34	0
35	0
36	48
37	0
38	0
39	0
40	0
41	96
42	0
43	0
44	24
45	48
46	0
47	0
48	0
49	96
50	0
51	0
52	0
53	0
54	0
55	48
56	0
57	0
58	0
59	24
60	0
61	120
62	0
63	0
64	108
65	0
66	0
67	0
68	0
69	0
70	0
71	48
72	0
73	0
74	0
75	0
76	72
77	0
78	0
79	48
80	120
81	54
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	48
90	0
91	0
92	0

n	a(n)
0	1
1	6
2	0
3	0
4	12
5	24
6	0
7	0
8	0
9	32
10	0
11	24
12	0
13	0
14	0
15	0
16	54
17	0
18	0
19	24
20	24
21	0
22	0
23	0
24	0
25	30
26	0
27	0
28	0
29	24
30	0
31	48
32	0
33	0
34	0
35	0
36	48
37	0
38	0
39	0
40	0
41	96
42	0
43	0
44	24
45	48
46	0
47	0
48	0
49	96
50	0
51	0
52	0
53	0
54	0
55	48
56	0
57	0
58	0
59	24
60	0
61	120
62	0
63	0
64	108
65	0
66	0
67	0
68	0
69	0
70	0
71	48
72	0
73	0
74	0
75	0
76	72
77	0
78	0
79	48
80	120
81	54
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	48
90	0
91	0
92	0

n	a(n)
0	1
1	6
2	0
3	0
4	12
5	24
6	0
7	0
8	0
9	32
10	0
11	24
12	0
13	0
14	0
15	0
16	54
17	0
18	0
19	24
20	24
21	0
22	0
23	0
24	0
25	30
26	0
27	0
28	0
29	24
30	0
31	48
32	0
33	0
34	0
35	0
36	48
37	0
38	0
39	0
40	0
41	96
42	0
43	0
44	24
45	48
46	0
47	0
48	0
49	96
50	0
51	0
52	0
53	0
54	0
55	48
56	0
57	0
58	0
59	24
60	0
61	120
62	0
63	0
64	108
65	0
66	0
67	0
68	0
69	0
70	0
71	48
72	0
73	0
74	0
75	0
76	72
77	0
78	0
79	48
80	120
81	54
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	48
90	0
91	0
92	0