A339444 - cp's OEIS frontend

A339444 Number of partitions of n into triangular numbers such that the number of parts is a triangular number.

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	1
6	2
7	1
8	2
9	1
10	4
11	1
12	4
13	2
14	3
15	6
16	4
17	6
18	4
19	7
20	6
21	10
22	8
23	8
24	11
25	11
26	14
27	11
28	17
29	14
30	22
31	19
32	18
33	24
34	24
35	30
36	27
37	33
38	31
39	38
40	42
41	39
42	47
43	49
44	54
45	59
46	60
47	63
48	72
49	77
50	79
51	85
52	95
53	94
54	104
55	116
56	115
57	131
58	133
59	142
60	154
61	165
62	168
63	180
64	200
65	203

[1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 4, 1, 4, 2, 3, 6, 4, 6, 4, 7, 6, 10, 8, 8, 11, 11, 14, 11, 17, 14, 22, 19, 18, 24, 24, 30, 27, 33, 31, 38, 42, 39, 47, 49, 54, 59, 60, 63, 72, 77, 79, 85, 95, 94, 104, 116, 115, 131, 133, 142, 154, 165, 168, 180, 200, 203]

cp's OEIS Frontend

A339444 Number of partitions of n into triangular numbers such that the number of parts is a triangular number.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	1
6	2
7	1
8	2
9	1
10	4
11	1
12	4
13	2
14	3
15	6
16	4
17	6
18	4
19	7
20	6
21	10
22	8
23	8
24	11
25	11
26	14
27	11
28	17
29	14
30	22
31	19
32	18
33	24
34	24
35	30
36	27
37	33
38	31
39	38
40	42
41	39
42	47
43	49
44	54
45	59
46	60
47	63
48	72
49	77
50	79
51	85
52	95
53	94
54	104
55	116
56	115
57	131
58	133
59	142
60	154
61	165
62	168
63	180
64	200
65	203

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	1
6	2
7	1
8	2
9	1
10	4
11	1
12	4
13	2
14	3
15	6
16	4
17	6
18	4
19	7
20	6
21	10
22	8
23	8
24	11
25	11
26	14
27	11
28	17
29	14
30	22
31	19
32	18
33	24
34	24
35	30
36	27
37	33
38	31
39	38
40	42
41	39
42	47
43	49
44	54
45	59
46	60
47	63
48	72
49	77
50	79
51	85
52	95
53	94
54	104
55	116
56	115
57	131
58	133
59	142
60	154
61	165
62	168
63	180
64	200
65	203

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	1
6	2
7	1
8	2
9	1
10	4
11	1
12	4
13	2
14	3
15	6
16	4
17	6
18	4
19	7
20	6
21	10
22	8
23	8
24	11
25	11
26	14
27	11
28	17
29	14
30	22
31	19
32	18
33	24
34	24
35	30
36	27
37	33
38	31
39	38
40	42
41	39
42	47
43	49
44	54
45	59
46	60
47	63
48	72
49	77
50	79
51	85
52	95
53	94
54	104
55	116
56	115
57	131
58	133
59	142
60	154
61	165
62	168
63	180
64	200
65	203