A210485 - cp's OEIS frontend

A210485 Number T(n,k) of parts in all partitions of n in which no part occurs more than k times; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	3
6	0
7	3
8	3
9	6
10	0
11	3
12	8
13	8
14	12
15	0
16	5
17	11
18	15
19	15
20	20
21	0
22	8
23	17
24	24
25	29
26	29
27	35
28	0
29	10
30	23
31	36
32	41
33	47
34	47
35	54
36	0
37	13
38	36
39	50
40	65
41	71
42	78
43	78
44	86
45	0
46	18
47	48
48	75
49	91
50	104
51	111
52	119
53	119
54	128
55	0
56	25
57	69
58	102
59	132
60	150
61	165
62	173
63	182
64	182
65	192

[0, 0, 1, 0, 1, 3, 0, 3, 3, 6, 0, 3, 8, 8, 12, 0, 5, 11, 15, 15, 20, 0, 8, 17, 24, 29, 29, 35, 0, 10, 23, 36, 41, 47, 47, 54, 0, 13, 36, 50, 65, 71, 78, 78, 86, 0, 18, 48, 75, 91, 104, 111, 119, 119, 128, 0, 25, 69, 102, 132, 150, 165, 173, 182, 182, 192]

cp's OEIS Frontend

A210485 Number T(n,k) of parts in all partitions of n in which no part occurs more than k times; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	3
6	0
7	3
8	3
9	6
10	0
11	3
12	8
13	8
14	12
15	0
16	5
17	11
18	15
19	15
20	20
21	0
22	8
23	17
24	24
25	29
26	29
27	35
28	0
29	10
30	23
31	36
32	41
33	47
34	47
35	54
36	0
37	13
38	36
39	50
40	65
41	71
42	78
43	78
44	86
45	0
46	18
47	48
48	75
49	91
50	104
51	111
52	119
53	119
54	128
55	0
56	25
57	69
58	102
59	132
60	150
61	165
62	173
63	182
64	182
65	192

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	3
6	0
7	3
8	3
9	6
10	0
11	3
12	8
13	8
14	12
15	0
16	5
17	11
18	15
19	15
20	20
21	0
22	8
23	17
24	24
25	29
26	29
27	35
28	0
29	10
30	23
31	36
32	41
33	47
34	47
35	54
36	0
37	13
38	36
39	50
40	65
41	71
42	78
43	78
44	86
45	0
46	18
47	48
48	75
49	91
50	104
51	111
52	119
53	119
54	128
55	0
56	25
57	69
58	102
59	132
60	150
61	165
62	173
63	182
64	182
65	192

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	3
6	0
7	3
8	3
9	6
10	0
11	3
12	8
13	8
14	12
15	0
16	5
17	11
18	15
19	15
20	20
21	0
22	8
23	17
24	24
25	29
26	29
27	35
28	0
29	10
30	23
31	36
32	41
33	47
34	47
35	54
36	0
37	13
38	36
39	50
40	65
41	71
42	78
43	78
44	86
45	0
46	18
47	48
48	75
49	91
50	104
51	111
52	119
53	119
54	128
55	0
56	25
57	69
58	102
59	132
60	150
61	165
62	173
63	182
64	182
65	192