A183568 - cp's OEIS frontend

A183568 Triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the number of partitions of n containing a clique of size k.

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	1
6	3
7	2
8	0
9	1
10	5
11	3
12	2
13	0
14	1
15	7
16	6
17	2
18	1
19	0
20	1
21	11
22	7
23	3
24	2
25	1
26	0
27	1
28	15
29	13
30	5
31	3
32	1
33	1
34	0
35	1
36	22
37	16
38	9
39	3
40	3
41	1
42	1
43	0
44	1
45	30
46	25
47	10
48	6
49	3
50	2
51	1
52	1
53	0
54	1
55	42
56	33
57	16
58	8
59	5
60	3
61	2
62	1
63	1
64	0
65	1
66	56
67	49
68	23
69	13
70	6
71	5
72	2
73	2
74	1
75	1
76	0
77	1
78	77
79	61
80	31
81	15
82	10
83	5
84	5
85	2
86	2
87	1
88	1
89	0
90	1

[1, 1, 1, 2, 1, 1, 3, 2, 0, 1, 5, 3, 2, 0, 1, 7, 6, 2, 1, 0, 1, 11, 7, 3, 2, 1, 0, 1, 15, 13, 5, 3, 1, 1, 0, 1, 22, 16, 9, 3, 3, 1, 1, 0, 1, 30, 25, 10, 6, 3, 2, 1, 1, 0, 1, 42, 33, 16, 8, 5, 3, 2, 1, 1, 0, 1, 56, 49, 23, 13, 6, 5, 2, 2, 1, 1, 0, 1, 77, 61, 31, 15, 10, 5, 5, 2, 2, 1, 1, 0, 1]

cp's OEIS Frontend

A183568 Triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the number of partitions of n containing a clique of size k.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	1
6	3
7	2
8	0
9	1
10	5
11	3
12	2
13	0
14	1
15	7
16	6
17	2
18	1
19	0
20	1
21	11
22	7
23	3
24	2
25	1
26	0
27	1
28	15
29	13
30	5
31	3
32	1
33	1
34	0
35	1
36	22
37	16
38	9
39	3
40	3
41	1
42	1
43	0
44	1
45	30
46	25
47	10
48	6
49	3
50	2
51	1
52	1
53	0
54	1
55	42
56	33
57	16
58	8
59	5
60	3
61	2
62	1
63	1
64	0
65	1
66	56
67	49
68	23
69	13
70	6
71	5
72	2
73	2
74	1
75	1
76	0
77	1
78	77
79	61
80	31
81	15
82	10
83	5
84	5
85	2
86	2
87	1
88	1
89	0
90	1

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	1
6	3
7	2
8	0
9	1
10	5
11	3
12	2
13	0
14	1
15	7
16	6
17	2
18	1
19	0
20	1
21	11
22	7
23	3
24	2
25	1
26	0
27	1
28	15
29	13
30	5
31	3
32	1
33	1
34	0
35	1
36	22
37	16
38	9
39	3
40	3
41	1
42	1
43	0
44	1
45	30
46	25
47	10
48	6
49	3
50	2
51	1
52	1
53	0
54	1
55	42
56	33
57	16
58	8
59	5
60	3
61	2
62	1
63	1
64	0
65	1
66	56
67	49
68	23
69	13
70	6
71	5
72	2
73	2
74	1
75	1
76	0
77	1
78	77
79	61
80	31
81	15
82	10
83	5
84	5
85	2
86	2
87	1
88	1
89	0
90	1

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	1
6	3
7	2
8	0
9	1
10	5
11	3
12	2
13	0
14	1
15	7
16	6
17	2
18	1
19	0
20	1
21	11
22	7
23	3
24	2
25	1
26	0
27	1
28	15
29	13
30	5
31	3
32	1
33	1
34	0
35	1
36	22
37	16
38	9
39	3
40	3
41	1
42	1
43	0
44	1
45	30
46	25
47	10
48	6
49	3
50	2
51	1
52	1
53	0
54	1
55	42
56	33
57	16
58	8
59	5
60	3
61	2
62	1
63	1
64	0
65	1
66	56
67	49
68	23
69	13
70	6
71	5
72	2
73	2
74	1
75	1
76	0
77	1
78	77
79	61
80	31
81	15
82	10
83	5
84	5
85	2
86	2
87	1
88	1
89	0
90	1