A309785 - cp's OEIS frontend

A309785 The number of non-equivalent distinguishing coloring partitions of the cycle on n vertices with at most k parts (k>=1). The cycle graph is defined for n>=3; extended to n=1,2 using the closed form. Square array read by descending antidiagonals: the rows are indexed by n, the number of vertices of the cycle, and the columns are indexed by k, the number of parts.

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	1
14	0
15	0
16	0
17	0
18	1
19	1
20	0
21	0
22	0
23	0
24	1
25	2
26	4
27	1
28	0
29	0
30	0
31	1
32	2
33	6
34	9
35	1
36	0
37	0
38	0
39	1
40	2
41	7
42	19
43	26
44	4
45	0
46	0
47	0
48	1
49	2
50	7
51	22
52	58
53	66
54	7
55	0
56	0
57	0
58	1
59	2
60	7
61	23
62	74
63	195
64	183
65	18
66	0
67	0
68	0
69	1
70	2
71	7
72	23
73	77
74	279
75	651
76	488
77	31
78	0

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 4, 1, 0, 0, 0, 1, 2, 6, 9, 1, 0, 0, 0, 1, 2, 7, 19, 26, 4, 0, 0, 0, 1, 2, 7, 22, 58, 66, 7, 0, 0, 0, 1, 2, 7, 23, 74, 195, 183, 18, 0, 0, 0, 1, 2, 7, 23, 77, 279, 651, 488, 31, 0]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	1
14	0
15	0
16	0
17	0
18	1
19	1
20	0
21	0
22	0
23	0
24	1
25	2
26	4
27	1
28	0
29	0
30	0
31	1
32	2
33	6
34	9
35	1
36	0
37	0
38	0
39	1
40	2
41	7
42	19
43	26
44	4
45	0
46	0
47	0
48	1
49	2
50	7
51	22
52	58
53	66
54	7
55	0
56	0
57	0
58	1
59	2
60	7
61	23
62	74
63	195
64	183
65	18
66	0
67	0
68	0
69	1
70	2
71	7
72	23
73	77
74	279
75	651
76	488
77	31
78	0

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	1
14	0
15	0
16	0
17	0
18	1
19	1
20	0
21	0
22	0
23	0
24	1
25	2
26	4
27	1
28	0
29	0
30	0
31	1
32	2
33	6
34	9
35	1
36	0
37	0
38	0
39	1
40	2
41	7
42	19
43	26
44	4
45	0
46	0
47	0
48	1
49	2
50	7
51	22
52	58
53	66
54	7
55	0
56	0
57	0
58	1
59	2
60	7
61	23
62	74
63	195
64	183
65	18
66	0
67	0
68	0
69	1
70	2
71	7
72	23
73	77
74	279
75	651
76	488
77	31
78	0

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	1
14	0
15	0
16	0
17	0
18	1
19	1
20	0
21	0
22	0
23	0
24	1
25	2
26	4
27	1
28	0
29	0
30	0
31	1
32	2
33	6
34	9
35	1
36	0
37	0
38	0
39	1
40	2
41	7
42	19
43	26
44	4
45	0
46	0
47	0
48	1
49	2
50	7
51	22
52	58
53	66
54	7
55	0
56	0
57	0
58	1
59	2
60	7
61	23
62	74
63	195
64	183
65	18
66	0
67	0
68	0
69	1
70	2
71	7
72	23
73	77
74	279
75	651
76	488
77	31
78	0