Number of 2-distant 5-noncrossing partitions of {1,...,n}.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =15a(5) =52a(6) =203a(7) =877a(8) =4140a(9) =21147a(10) =115975a(11) =678569a(12) =4213546a(13) =27642948a(14) =190866373a(15) =1382340849a(16) =10469739750a(17) =82701857286a(18) =679644668584