A058305 - cp's OEIS frontend

A058305 Numerator of H(n), where H(0)=-1/12, H(n) = number of equivalence classes of positive definite quadratic forms ax^2+bx*y+cy^2 with discriminant b^2-4ac = -n, counting forms equivalent to x^2+y^2 (resp. x^2+xy+y^2) with multiplicity 1/2 (resp. 1/3).

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

[-1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 4, 0, 0, 2, 3, 0, 0, 1, 2, 0, 0, 3, 2, 0, 0, 4, 2, 0, 0, 3, 3, 0, 0, 2, 5, 0, 0, 4, 2, 0, 0, 1, 4, 0, 0, 5, 10, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 3, 4, 0, 0, 5, 7, 0, 0, 1, 4, 0, 0, 7, 3, 0, 0, 7, 4, 0, 0, 5, 6, 0, 0, 3, 4, 0, 0, 6, 2, 0, 0, 2, 6, 0, 0, 8, 6, 0, 0, 3]

cp's OEIS Frontend

A058305 Numerator of H(n), where H(0)=-1/12, H(n) = number of equivalence classes of positive definite quadratic forms ax^2+bx*y+cy^2 with discriminant b^2-4ac = -n, counting forms equivalent to x^2+y^2 (resp. x^2+xy+y^2) with multiplicity 1/2 (resp. 1/3).

Table of values

List of values

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

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

cp's OEIS Frontend

A058305 Numerator of H(n), where H(0)=-1/12, H(n) = number of equivalence classes of positive definite quadratic forms a*x^2+b*x*y+c*y^2 with discriminant b^2-4ac = -n, counting forms equivalent to x^2+y^2 (resp. x^2+x*y+y^2) with multiplicity 1/2 (resp. 1/3).

Table of values

List of values

A058305 Numerator of H(n), where H(0)=-1/12, H(n) = number of equivalence classes of positive definite quadratic forms ax^2+bx*y+cy^2 with discriminant b^2-4ac = -n, counting forms equivalent to x^2+y^2 (resp. x^2+xy+y^2) with multiplicity 1/2 (resp. 1/3).

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