A263998 - cp's OEIS frontend

A263998 Number of ordered ways to write n as x^2 + 2y^2 + p(p+d)/2, where x and y are nonnegative integers, d is 1 or -1, and p is prime.

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

[1, 1, 3, 3, 3, 3, 4, 1, 4, 4, 3, 7, 2, 4, 5, 2, 3, 4, 7, 3, 7, 5, 4, 5, 5, 3, 5, 8, 3, 8, 3, 4, 6, 5, 4, 5, 10, 2, 11, 4, 2, 6, 3, 6, 3, 7, 5, 5, 3, 3, 6, 5, 6, 8, 7, 3, 9, 5, 4, 9, 5, 4, 4, 8, 4, 5, 8, 2, 11, 5, 5, 9, 5, 6, 8, 6, 5, 10, 8, 3, 4, 13, 4, 10, 7, 4, 12, 6, 7, 4, 10, 6, 7, 6, 4, 9, 5, 5, 8, 11]

cp's OEIS Frontend

A263998 Number of ordered ways to write n as x^2 + 2y^2 + p(p+d)/2, where x and y are nonnegative integers, d is 1 or -1, and p is prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A263998 Number of ordered ways to write n as x^2 + 2*y^2 + p*(p+d)/2, where x and y are nonnegative integers, d is 1 or -1, and p is prime.

Table of values

List of values

A263998 Number of ordered ways to write n as x^2 + 2y^2 + p(p+d)/2, where x and y are nonnegative integers, d is 1 or -1, and p is prime.

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