Number of noncrossing partitions of the n-set with no pair of singletons {i} and {j} that can be merged into {i,j} and leave the partition a noncrossing partition.

A363448

Number of noncrossing partitions of the n-set 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) =1a(1) =1a(2) =1a(3) =4a(4) =9a(5) =26a(6) =77a(7) =232a(8) =725a(9) =2299a(10) =7415a(11) =24223a(12) =79983a(13) =266553a(14) =895333a(15) =3028093a(16) =10303085a(17) =35243330a(18) =121128329a(19) =418080561a(20) =1448564695a(21) =5036434577a(22) =17566314287a(23) =61445833012a(24) =215503978367a(25) =757666696926

External references