A361952 - cp's OEIS frontend

A361952 Array read by antidiagonals: T(n,k) is the number of unlabeled posets with n elements together with a function rk mapping each element to a rank between 1 and k such that whenever v covers w in the poset then rk(v) = rk(w) + 1.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	2
8	1
9	0
10	1
11	3
12	4
13	1
14	0
15	1
16	4
17	8
18	8
19	1
20	0
21	1
22	5
23	13
24	21
25	17
26	1
27	0
28	1
29	6
30	19
31	40
32	58
33	38
34	1
35	0
36	1
37	7
38	26
39	66
40	126
41	172
42	94
43	1
44	0
45	1
46	8
47	34
48	100
49	228
50	420
51	569
52	258
53	1
54	0
55	1
56	9
57	43
58	143
59	373
60	816
61	1537
62	2148
63	815
64	1
65	0
66	1
67	10
68	53
69	196
70	571
71	1412
72	3140
73	6342
74	9538
75	3038
76	1
77	0

[1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 4, 1, 0, 1, 4, 8, 8, 1, 0, 1, 5, 13, 21, 17, 1, 0, 1, 6, 19, 40, 58, 38, 1, 0, 1, 7, 26, 66, 126, 172, 94, 1, 0, 1, 8, 34, 100, 228, 420, 569, 258, 1, 0, 1, 9, 43, 143, 373, 816, 1537, 2148, 815, 1, 0, 1, 10, 53, 196, 571, 1412, 3140, 6342, 9538, 3038, 1, 0]

cp's OEIS Frontend

A361952 Array read by antidiagonals: T(n,k) is the number of unlabeled posets with n elements together with a function rk mapping each element to a rank between 1 and k such that whenever v covers w in the poset then rk(v) = rk(w) + 1.

Table of values

List of values