A291057 - cp's OEIS frontend

A291057 Cardinality of the smallest nonempty class of length minimal languages with exactly n nonempty words each over a countably infinite alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.

n	a(n)
0	1
1	1
2	2
3	1
4	4
5	6
6	4
7	1
8	10
9	45
10	120
11	210
12	252
13	210
14	120
15	45
16	10
17	1
18	26
19	325
20	2600
21	14950
22	65780
23	230230
24	657800
25	1562275
26	3124550
27	5311735
28	7726160
29	9657700
30	10400600
31	9657700
32	7726160
33	5311735
34	3124550
35	1562275
36	657800
37	230230
38	65780
39	14950
40	2600
41	325
42	26
43	1

[1, 1, 2, 1, 4, 6, 4, 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 26, 325, 2600, 14950, 65780, 230230, 657800, 1562275, 3124550, 5311735, 7726160, 9657700, 10400600, 9657700, 7726160, 5311735, 3124550, 1562275, 657800, 230230, 65780, 14950, 2600, 325, 26, 1]

cp's OEIS Frontend

A291057 Cardinality of the smallest nonempty class of length minimal languages with exactly n nonempty words each over a countably infinite alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.

Table of values

List of values