A256544 - cp's OEIS frontend

A256544 Number of ways to write n as the sum of three unordered elements of the set {floor(T(x)/3): x = 1,2,3,...}, where T(x) denotes the triangular number x*(x+1)/2.

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

[1, 1, 2, 3, 3, 4, 4, 5, 4, 6, 5, 6, 6, 6, 6, 8, 6, 8, 7, 9, 7, 9, 8, 8, 9, 9, 9, 10, 9, 9, 11, 9, 12, 10, 10, 9, 14, 10, 11, 11, 13, 9, 14, 10, 12, 15, 11, 13, 12, 14, 12, 12, 13, 15, 14, 14, 11, 16, 11, 17, 14, 14, 14, 16, 13, 16, 15, 17, 12, 15, 17, 15, 17, 15, 14, 20, 13, 15, 19, 14, 18, 16, 21, 12, 19, 15, 16, 22, 18, 15, 18, 14, 21, 19, 18, 18, 17, 19, 18, 17, 18]

cp's OEIS Frontend

A256544 Number of ways to write n as the sum of three unordered elements of the set {floor(T(x)/3): x = 1,2,3,...}, where T(x) denotes the triangular number x*(x+1)/2.

Table of values

List of values

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

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

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