A264010 - cp's OEIS frontend

A264010 Number of ways to write n as x^2 + y(y+1) + z(z+1)/2, where x, y and z are nonnegative integers such that y or y+1 is prime, and z or z+1 is prime.

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

[0, 0, 1, 1, 1, 1, 2, 2, 3, 1, 1, 4, 4, 2, 1, 5, 4, 3, 3, 1, 6, 5, 4, 4, 4, 3, 6, 5, 1, 6, 7, 5, 4, 7, 4, 4, 7, 3, 6, 5, 5, 5, 6, 5, 5, 6, 3, 6, 9, 2, 4, 10, 2, 4, 3, 5, 9, 8, 6, 3, 10, 5, 5, 4, 4, 9, 8, 5, 4, 8, 7, 8, 7, 2, 5, 10, 6, 3, 8, 4, 6, 8, 3, 10, 6, 7, 7, 6, 5, 5, 5, 2, 10, 10, 4, 4, 11, 6, 5, 6]

cp's OEIS Frontend

A264010 Number of ways to write n as x^2 + y(y+1) + z(z+1)/2, where x, y and z are nonnegative integers such that y or y+1 is prime, and z or z+1 is prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A264010 Number of ways to write n as x^2 + y*(y+1) + z*(z+1)/2, where x, y and z are nonnegative integers such that y or y+1 is prime, and z or z+1 is prime.

Table of values

List of values

A264010 Number of ways to write n as x^2 + y(y+1) + z(z+1)/2, where x, y and z are nonnegative integers such that y or y+1 is prime, and z or z+1 is prime.

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