A299730 - cp's OEIS frontend

A299730 Irregular triangle read by rows: T(n,k) is the number of partitions of 3n having exactly k prime parts; n >= 0, 0 <= k <= floor( 3n / 2 ).

n	a(n)
0	1
1	1
2	2
3	3
4	4
5	3
6	1
7	6
8	9
9	8
10	5
11	2
12	12
13	20
14	19
15	14
16	8
17	3
18	1
19	19
20	41
21	42
22	34
23	21
24	12
25	5
26	2
27	37
28	72
29	88
30	74
31	53
32	31
33	18
34	8
35	3
36	1
37	58
38	136
39	161
40	155
41	115
42	77
43	46
44	25
45	12
46	5
47	2
48	102
49	226
50	307
51	291
52	241
53	168
54	110
55	65
56	35
57	18
58	8
59	3
60	1

[1, 1, 2, 3, 4, 3, 1, 6, 9, 8, 5, 2, 12, 20, 19, 14, 8, 3, 1, 19, 41, 42, 34, 21, 12, 5, 2, 37, 72, 88, 74, 53, 31, 18, 8, 3, 1, 58, 136, 161, 155, 115, 77, 46, 25, 12, 5, 2, 102, 226, 307, 291, 241, 168, 110, 65, 35, 18, 8, 3, 1]

cp's OEIS Frontend

A299730 Irregular triangle read by rows: T(n,k) is the number of partitions of 3n having exactly k prime parts; n >= 0, 0 <= k <= floor( 3n / 2 ).

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	4
5	3
6	1
7	6
8	9
9	8
10	5
11	2
12	12
13	20
14	19
15	14
16	8
17	3
18	1
19	19
20	41
21	42
22	34
23	21
24	12
25	5
26	2
27	37
28	72
29	88
30	74
31	53
32	31
33	18
34	8
35	3
36	1
37	58
38	136
39	161
40	155
41	115
42	77
43	46
44	25
45	12
46	5
47	2
48	102
49	226
50	307
51	291
52	241
53	168
54	110
55	65
56	35
57	18
58	8
59	3
60	1

n	a(n)
0	1
1	1
2	2
3	3
4	4
5	3
6	1
7	6
8	9
9	8
10	5
11	2
12	12
13	20
14	19
15	14
16	8
17	3
18	1
19	19
20	41
21	42
22	34
23	21
24	12
25	5
26	2
27	37
28	72
29	88
30	74
31	53
32	31
33	18
34	8
35	3
36	1
37	58
38	136
39	161
40	155
41	115
42	77
43	46
44	25
45	12
46	5
47	2
48	102
49	226
50	307
51	291
52	241
53	168
54	110
55	65
56	35
57	18
58	8
59	3
60	1

cp's OEIS Frontend

A299730 Irregular triangle read by rows: T(n,k) is the number of partitions of 3*n having exactly k prime parts; n >= 0, 0 <= k <= floor( 3*n / 2 ).

Table of values

List of values

A299730 Irregular triangle read by rows: T(n,k) is the number of partitions of 3n having exactly k prime parts; n >= 0, 0 <= k <= floor( 3n / 2 ).

n	a(n)
0	1
1	1
2	2
3	3
4	4
5	3
6	1
7	6
8	9
9	8
10	5
11	2
12	12
13	20
14	19
15	14
16	8
17	3
18	1
19	19
20	41
21	42
22	34
23	21
24	12
25	5
26	2
27	37
28	72
29	88
30	74
31	53
32	31
33	18
34	8
35	3
36	1
37	58
38	136
39	161
40	155
41	115
42	77
43	46
44	25
45	12
46	5
47	2
48	102
49	226
50	307
51	291
52	241
53	168
54	110
55	65
56	35
57	18
58	8
59	3
60	1