A230121 - cp's OEIS frontend

A230121 Number of ways to write n = x + y + z (0 < x <= y <= z) such that x(x+1)/2 + y(y+1)/2 + z*(z+1)/2 is a triangular number.

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

[0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 3, 2, 2, 6, 1, 3, 5, 1, 2, 3, 5, 2, 1, 3, 3, 3, 4, 3, 8, 2, 5, 11, 2, 5, 8, 4, 6, 4, 9, 4, 6, 5, 4, 6, 3, 8, 8, 5, 8, 10, 7, 7, 11, 8, 6, 7, 8, 5, 9, 7, 6, 8, 7, 7, 8, 13, 9, 11, 10, 7, 22, 9, 10, 13, 3, 6, 10, 8, 17, 12, 7, 9, 10, 16, 6, 18, 18, 10, 15, 9, 12, 20, 5]

cp's OEIS Frontend

A230121 Number of ways to write n = x + y + z (0 < x <= y <= z) such that x(x+1)/2 + y(y+1)/2 + z*(z+1)/2 is a triangular number.

Table of values

List of values

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

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

cp's OEIS Frontend

A230121 Number of ways to write n = x + y + z (0 < x <= y <= z) such that x*(x+1)/2 + y*(y+1)/2 + z*(z+1)/2 is a triangular number.

Table of values

List of values

A230121 Number of ways to write n = x + y + z (0 < x <= y <= z) such that x(x+1)/2 + y(y+1)/2 + z*(z+1)/2 is a triangular number.

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