A361197 - cp's OEIS frontend

A361197 a(n) is the number of equations in the set {x^2 + 2y^2 = n, 2x^2 + 3y^2 = n, ..., kx^2 + (k+1)y^2 = n, ..., nx^2 + (n+1)y^2 = n} which admit at least one nonnegative integer solution.

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

[1, 2, 3, 3, 3, 3, 3, 4, 4, 2, 5, 5, 3, 3, 3, 5, 4, 4, 5, 5, 5, 3, 3, 6, 4, 3, 6, 5, 5, 3, 5, 6, 4, 4, 4, 8, 3, 3, 5, 4, 6, 2, 5, 8, 6, 3, 3, 7, 6, 4, 6, 6, 4, 6, 3, 7, 4, 2, 7, 5, 6, 3, 6, 8, 3, 5, 5, 6, 7, 2, 5, 8, 4, 4, 6, 8, 4, 2, 6, 7, 8, 4, 5, 9, 3, 5, 4, 5, 6, 4, 6, 5, 4, 3, 4, 9]

cp's OEIS Frontend

A361197 a(n) is the number of equations in the set {x^2 + 2y^2 = n, 2x^2 + 3y^2 = n, ..., kx^2 + (k+1)y^2 = n, ..., nx^2 + (n+1)y^2 = n} which admit at least one nonnegative integer solution.

Table of values

List of values

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

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

cp's OEIS Frontend

A361197 a(n) is the number of equations in the set {x^2 + 2y^2 = n, 2x^2 + 3y^2 = n, ..., k*x^2 + (k+1)*y^2 = n, ..., n*x^2 + (n+1)*y^2 = n} which admit at least one nonnegative integer solution.

Table of values

List of values

A361197 a(n) is the number of equations in the set {x^2 + 2y^2 = n, 2x^2 + 3y^2 = n, ..., kx^2 + (k+1)y^2 = n, ..., nx^2 + (n+1)y^2 = n} which admit at least one nonnegative integer solution.

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