A227877 - cp's OEIS frontend

A227877 Number of ways to write n = x + y + z (x, y, z > 0) such that xy and xz are triangular numbers, and 6y-1 and 6z+1 are both prime.

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

[0, 0, 1, 0, 3, 2, 2, 3, 3, 7, 3, 6, 3, 3, 2, 3, 7, 6, 7, 5, 4, 5, 10, 2, 10, 4, 5, 2, 2, 9, 5, 9, 2, 4, 3, 4, 5, 7, 5, 11, 12, 5, 8, 11, 12, 5, 11, 3, 7, 11, 4, 10, 6, 2, 9, 11, 8, 7, 9, 8, 9, 4, 3, 4, 10, 6, 9, 15, 9, 17, 3, 3, 8, 12, 10, 5, 1, 7, 9, 16, 8, 17, 6, 8, 16, 6, 8, 8, 10, 1, 6, 4, 8, 5, 23, 11, 2, 9, 6, 14]

cp's OEIS Frontend

A227877 Number of ways to write n = x + y + z (x, y, z > 0) such that xy and xz are triangular numbers, and 6y-1 and 6z+1 are both prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A227877 Number of ways to write n = x + y + z (x, y, z > 0) such that x*y and x*z are triangular numbers, and 6*y-1 and 6*z+1 are both prime.

Table of values

List of values

A227877 Number of ways to write n = x + y + z (x, y, z > 0) such that xy and xz are triangular numbers, and 6y-1 and 6z+1 are both prime.

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