A319799 - cp's OEIS frontend

A319799 Number of partitions of 2n into exactly n positive triangular numbers.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	2
10	2
11	2
12	2
13	2
14	4
15	3
16	4
17	3
18	5
19	5
20	7
21	5
22	7
23	7
24	9
25	9
26	9
27	11
28	12
29	14
30	14
31	14
32	17
33	17
34	21
35	20
36	23
37	24
38	27
39	28
40	31
41	32
42	36
43	37
44	42
45	43
46	47
47	50
48	53
49	58
50	61
51	64
52	69
53	72
54	82
55	83
56	91
57	92
58	102
59	107
60	115
61	118
62	128
63	135
64	147
65	152
66	159
67	169
68	181

[1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 3, 4, 3, 5, 5, 7, 5, 7, 7, 9, 9, 9, 11, 12, 14, 14, 14, 17, 17, 21, 20, 23, 24, 27, 28, 31, 32, 36, 37, 42, 43, 47, 50, 53, 58, 61, 64, 69, 72, 82, 83, 91, 92, 102, 107, 115, 118, 128, 135, 147, 152, 159, 169, 181]

cp's OEIS Frontend

A319799 Number of partitions of 2n into exactly n positive triangular numbers.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	2
10	2
11	2
12	2
13	2
14	4
15	3
16	4
17	3
18	5
19	5
20	7
21	5
22	7
23	7
24	9
25	9
26	9
27	11
28	12
29	14
30	14
31	14
32	17
33	17
34	21
35	20
36	23
37	24
38	27
39	28
40	31
41	32
42	36
43	37
44	42
45	43
46	47
47	50
48	53
49	58
50	61
51	64
52	69
53	72
54	82
55	83
56	91
57	92
58	102
59	107
60	115
61	118
62	128
63	135
64	147
65	152
66	159
67	169
68	181

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	2
10	2
11	2
12	2
13	2
14	4
15	3
16	4
17	3
18	5
19	5
20	7
21	5
22	7
23	7
24	9
25	9
26	9
27	11
28	12
29	14
30	14
31	14
32	17
33	17
34	21
35	20
36	23
37	24
38	27
39	28
40	31
41	32
42	36
43	37
44	42
45	43
46	47
47	50
48	53
49	58
50	61
51	64
52	69
53	72
54	82
55	83
56	91
57	92
58	102
59	107
60	115
61	118
62	128
63	135
64	147
65	152
66	159
67	169
68	181

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	1
8	1
9	2
10	2
11	2
12	2
13	2
14	4
15	3
16	4
17	3
18	5
19	5
20	7
21	5
22	7
23	7
24	9
25	9
26	9
27	11
28	12
29	14
30	14
31	14
32	17
33	17
34	21
35	20
36	23
37	24
38	27
39	28
40	31
41	32
42	36
43	37
44	42
45	43
46	47
47	50
48	53
49	58
50	61
51	64
52	69
53	72
54	82
55	83
56	91
57	92
58	102
59	107
60	115
61	118
62	128
63	135
64	147
65	152
66	159
67	169
68	181