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.
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.
Terms
- a(0) =0a(1) =0a(2) =1a(3) =2a(4) =4a(5) =11a(6) =30a(7) =88a(8) =266a(9) =825a(10) =2613a(11) =8408a(12) =27421a(13) =90422a(14) =300987a(15) =1010008a(16) =3413027a(17) =11604237a(18) =39668334a(19) =136258178a(20) =470060495a(21) =1627913941a(22) =5657649569a(23) =19725571728a(24) =68975054956a(25) =241834515725a(26) =849993720642
External references
- oeis: A373760