A305749 - cp's OEIS frontend

A305749 T(n,k) is the number of achiral color patterns (set partitions) in a row or loop of length n with k or fewer colors (sets).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	3
14	4
15	1
16	1
17	2
18	3
19	6
20	4
21	1
22	1
23	2
24	3
25	7
26	9
27	8
28	1
29	1
30	2
31	3
32	7
33	11
34	18
35	8
36	1
37	1
38	2
39	3
40	7
41	12
42	27
43	27
44	16
45	1
46	1
47	2
48	3
49	7
50	12
51	30
52	43
53	54
54	16
55	1
56	1
57	2
58	3
59	7
60	12
61	31
62	55
63	107
64	81
65	32
66	1
67	1
68	2
69	3
70	7
71	12
72	31
73	58
74	141
75	171
76	162
77	32
78	1
79	1
80	2
81	3
82	7
83	12
84	31
85	59
86	159
87	266
88	427
89	243
90	64
91	1
92	1
93	2
94	3
95	7
96	12
97	31
98	59
99	163
100	312
101	688
102	683
103	486
104	64
105	1

[1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 4, 1, 1, 2, 3, 6, 4, 1, 1, 2, 3, 7, 9, 8, 1, 1, 2, 3, 7, 11, 18, 8, 1, 1, 2, 3, 7, 12, 27, 27, 16, 1, 1, 2, 3, 7, 12, 30, 43, 54, 16, 1, 1, 2, 3, 7, 12, 31, 55, 107, 81, 32, 1, 1, 2, 3, 7, 12, 31, 58, 141, 171, 162, 32, 1, 1, 2, 3, 7, 12, 31, 59, 159, 266, 427, 243, 64, 1, 1, 2, 3, 7, 12, 31, 59, 163, 312, 688, 683, 486, 64, 1]

cp's OEIS Frontend

A305749 T(n,k) is the number of achiral color patterns (set partitions) in a row or loop of length n with k or fewer colors (sets).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	3
14	4
15	1
16	1
17	2
18	3
19	6
20	4
21	1
22	1
23	2
24	3
25	7
26	9
27	8
28	1
29	1
30	2
31	3
32	7
33	11
34	18
35	8
36	1
37	1
38	2
39	3
40	7
41	12
42	27
43	27
44	16
45	1
46	1
47	2
48	3
49	7
50	12
51	30
52	43
53	54
54	16
55	1
56	1
57	2
58	3
59	7
60	12
61	31
62	55
63	107
64	81
65	32
66	1
67	1
68	2
69	3
70	7
71	12
72	31
73	58
74	141
75	171
76	162
77	32
78	1
79	1
80	2
81	3
82	7
83	12
84	31
85	59
86	159
87	266
88	427
89	243
90	64
91	1
92	1
93	2
94	3
95	7
96	12
97	31
98	59
99	163
100	312
101	688
102	683
103	486
104	64
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	3
14	4
15	1
16	1
17	2
18	3
19	6
20	4
21	1
22	1
23	2
24	3
25	7
26	9
27	8
28	1
29	1
30	2
31	3
32	7
33	11
34	18
35	8
36	1
37	1
38	2
39	3
40	7
41	12
42	27
43	27
44	16
45	1
46	1
47	2
48	3
49	7
50	12
51	30
52	43
53	54
54	16
55	1
56	1
57	2
58	3
59	7
60	12
61	31
62	55
63	107
64	81
65	32
66	1
67	1
68	2
69	3
70	7
71	12
72	31
73	58
74	141
75	171
76	162
77	32
78	1
79	1
80	2
81	3
82	7
83	12
84	31
85	59
86	159
87	266
88	427
89	243
90	64
91	1
92	1
93	2
94	3
95	7
96	12
97	31
98	59
99	163
100	312
101	688
102	683
103	486
104	64
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	3
14	4
15	1
16	1
17	2
18	3
19	6
20	4
21	1
22	1
23	2
24	3
25	7
26	9
27	8
28	1
29	1
30	2
31	3
32	7
33	11
34	18
35	8
36	1
37	1
38	2
39	3
40	7
41	12
42	27
43	27
44	16
45	1
46	1
47	2
48	3
49	7
50	12
51	30
52	43
53	54
54	16
55	1
56	1
57	2
58	3
59	7
60	12
61	31
62	55
63	107
64	81
65	32
66	1
67	1
68	2
69	3
70	7
71	12
72	31
73	58
74	141
75	171
76	162
77	32
78	1
79	1
80	2
81	3
82	7
83	12
84	31
85	59
86	159
87	266
88	427
89	243
90	64
91	1
92	1
93	2
94	3
95	7
96	12
97	31
98	59
99	163
100	312
101	688
102	683
103	486
104	64
105	1