A373760 - cp's OEIS frontend

A373760 Number of noncrossing partitions of the n-set including a part containing both 1 and n (with n different from 1), with no pair of singletons {i} and {j} that can be merged into {i,j} and leave the partition a noncrossing partition.

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	11
6	30
7	88
8	266
9	825
10	2613
11	8408
12	27421
13	90422
14	300987
15	1010008
16	3413027
17	11604237
18	39668334
19	136258178
20	470060495
21	1627913941
22	5657649569
23	19725571728
24	68975054956
25	241834515725
26	849993720642
27	2994348927858
28	10570741932441
29	37390372928207
30	132497284947463

[0, 0, 1, 2, 4, 11, 30, 88, 266, 825, 2613, 8408, 27421, 90422, 300987, 1010008, 3413027, 11604237, 39668334, 136258178, 470060495, 1627913941, 5657649569, 19725571728, 68975054956, 241834515725, 849993720642, 2994348927858, 10570741932441, 37390372928207, 132497284947463]

cp's OEIS Frontend

A373760 Number of noncrossing partitions of the n-set including a part containing both 1 and n (with n different from 1), with no pair of singletons {i} and {j} that can be merged into {i,j} and leave the partition a noncrossing partition.

Table of values

List of values