A256193 - cp's OEIS frontend

A256193 Number T(n,k) of partitions of n into two sorts of parts having exactly k parts of the second sort; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	6
8	4
9	1
10	5
11	12
12	11
13	5
14	1
15	7
16	20
17	24
18	16
19	6
20	1
21	11
22	35
23	49
24	41
25	22
26	7
27	1
28	15
29	54
30	89
31	91
32	63
33	29
34	8
35	1
36	22
37	86
38	158
39	186
40	155
41	92
42	37
43	9
44	1
45	30
46	128
47	262
48	351
49	342
50	247
51	129
52	46
53	10
54	1
55	42
56	192
57	428
58	635
59	700
60	590
61	376
62	175
63	56
64	11
65	1

[1, 1, 1, 2, 3, 1, 3, 6, 4, 1, 5, 12, 11, 5, 1, 7, 20, 24, 16, 6, 1, 11, 35, 49, 41, 22, 7, 1, 15, 54, 89, 91, 63, 29, 8, 1, 22, 86, 158, 186, 155, 92, 37, 9, 1, 30, 128, 262, 351, 342, 247, 129, 46, 10, 1, 42, 192, 428, 635, 700, 590, 376, 175, 56, 11, 1]

cp's OEIS Frontend

A256193 Number T(n,k) of partitions of n into two sorts of parts having exactly k parts of the second sort; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	6
8	4
9	1
10	5
11	12
12	11
13	5
14	1
15	7
16	20
17	24
18	16
19	6
20	1
21	11
22	35
23	49
24	41
25	22
26	7
27	1
28	15
29	54
30	89
31	91
32	63
33	29
34	8
35	1
36	22
37	86
38	158
39	186
40	155
41	92
42	37
43	9
44	1
45	30
46	128
47	262
48	351
49	342
50	247
51	129
52	46
53	10
54	1
55	42
56	192
57	428
58	635
59	700
60	590
61	376
62	175
63	56
64	11
65	1

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	6
8	4
9	1
10	5
11	12
12	11
13	5
14	1
15	7
16	20
17	24
18	16
19	6
20	1
21	11
22	35
23	49
24	41
25	22
26	7
27	1
28	15
29	54
30	89
31	91
32	63
33	29
34	8
35	1
36	22
37	86
38	158
39	186
40	155
41	92
42	37
43	9
44	1
45	30
46	128
47	262
48	351
49	342
50	247
51	129
52	46
53	10
54	1
55	42
56	192
57	428
58	635
59	700
60	590
61	376
62	175
63	56
64	11
65	1

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	3
7	6
8	4
9	1
10	5
11	12
12	11
13	5
14	1
15	7
16	20
17	24
18	16
19	6
20	1
21	11
22	35
23	49
24	41
25	22
26	7
27	1
28	15
29	54
30	89
31	91
32	63
33	29
34	8
35	1
36	22
37	86
38	158
39	186
40	155
41	92
42	37
43	9
44	1
45	30
46	128
47	262
48	351
49	342
50	247
51	129
52	46
53	10
54	1
55	42
56	192
57	428
58	635
59	700
60	590
61	376
62	175
63	56
64	11
65	1