A230596 - cp's OEIS frontend

A230596 Number of ways to write n = x + y + z with 0 < x <= y <= z such that xyz is a triangular number, and that x is a triangular number of the form (p^2 - 1)/8 with p an odd prime.

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

[0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 3, 2, 5, 1, 3, 3, 3, 3, 2, 8, 1, 4, 2, 2, 3, 5, 1, 3, 6, 3, 5, 3, 1, 6, 4, 5, 3, 3, 1, 6, 6, 3, 4, 2, 4, 3, 8, 3, 3, 8, 5, 2, 4, 4, 6, 6, 3, 6, 2, 3, 12, 7, 1, 10, 7, 3, 4, 5, 3, 7, 8, 2, 5, 4, 6, 4, 2, 5, 6, 6, 4, 4, 13, 6, 9, 6, 4, 10, 7, 4]

cp's OEIS Frontend

A230596 Number of ways to write n = x + y + z with 0 < x <= y <= z such that xyz is a triangular number, and that x is a triangular number of the form (p^2 - 1)/8 with p an odd prime.

Table of values

List of values

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

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

cp's OEIS Frontend

A230596 Number of ways to write n = x + y + z with 0 < x <= y <= z such that x*y*z is a triangular number, and that x is a triangular number of the form (p^2 - 1)/8 with p an odd prime.

Table of values

List of values

A230596 Number of ways to write n = x + y + z with 0 < x <= y <= z such that xyz is a triangular number, and that x is a triangular number of the form (p^2 - 1)/8 with p an odd prime.

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