A308680 - cp's OEIS frontend

A308680 Number T(n,k) of colored integer partitions of n such that all colors from a k-set are used and parts differ by size or by color; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	2
9	1
10	0
11	2
12	5
13	3
14	1
15	0
16	3
17	8
18	9
19	4
20	1
21	0
22	4
23	14
24	19
25	14
26	5
27	1
28	0
29	5
30	22
31	39
32	36
33	20
34	6
35	1
36	0
37	6
38	34
39	72
40	85
41	60
42	27
43	7
44	1
45	0
46	8
47	50
48	128
49	180
50	160
51	92
52	35
53	8
54	1
55	0
56	10
57	73
58	216
59	360
60	381
61	273
62	133
63	44
64	9
65	1
66	0
67	12
68	104
69	354
70	680
71	845
72	720
73	434
74	184
75	54
76	10
77	1

[1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 5, 3, 1, 0, 3, 8, 9, 4, 1, 0, 4, 14, 19, 14, 5, 1, 0, 5, 22, 39, 36, 20, 6, 1, 0, 6, 34, 72, 85, 60, 27, 7, 1, 0, 8, 50, 128, 180, 160, 92, 35, 8, 1, 0, 10, 73, 216, 360, 381, 273, 133, 44, 9, 1, 0, 12, 104, 354, 680, 845, 720, 434, 184, 54, 10, 1]

cp's OEIS Frontend

A308680 Number T(n,k) of colored integer partitions of n such that all colors from a k-set are used and parts differ by size or by color; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	2
9	1
10	0
11	2
12	5
13	3
14	1
15	0
16	3
17	8
18	9
19	4
20	1
21	0
22	4
23	14
24	19
25	14
26	5
27	1
28	0
29	5
30	22
31	39
32	36
33	20
34	6
35	1
36	0
37	6
38	34
39	72
40	85
41	60
42	27
43	7
44	1
45	0
46	8
47	50
48	128
49	180
50	160
51	92
52	35
53	8
54	1
55	0
56	10
57	73
58	216
59	360
60	381
61	273
62	133
63	44
64	9
65	1
66	0
67	12
68	104
69	354
70	680
71	845
72	720
73	434
74	184
75	54
76	10
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	2
9	1
10	0
11	2
12	5
13	3
14	1
15	0
16	3
17	8
18	9
19	4
20	1
21	0
22	4
23	14
24	19
25	14
26	5
27	1
28	0
29	5
30	22
31	39
32	36
33	20
34	6
35	1
36	0
37	6
38	34
39	72
40	85
41	60
42	27
43	7
44	1
45	0
46	8
47	50
48	128
49	180
50	160
51	92
52	35
53	8
54	1
55	0
56	10
57	73
58	216
59	360
60	381
61	273
62	133
63	44
64	9
65	1
66	0
67	12
68	104
69	354
70	680
71	845
72	720
73	434
74	184
75	54
76	10
77	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	2
9	1
10	0
11	2
12	5
13	3
14	1
15	0
16	3
17	8
18	9
19	4
20	1
21	0
22	4
23	14
24	19
25	14
26	5
27	1
28	0
29	5
30	22
31	39
32	36
33	20
34	6
35	1
36	0
37	6
38	34
39	72
40	85
41	60
42	27
43	7
44	1
45	0
46	8
47	50
48	128
49	180
50	160
51	92
52	35
53	8
54	1
55	0
56	10
57	73
58	216
59	360
60	381
61	273
62	133
63	44
64	9
65	1
66	0
67	12
68	104
69	354
70	680
71	845
72	720
73	434
74	184
75	54
76	10
77	1