Number of Dyck paths of semilength n and height exactly 6.

Terms

a(0) =1a(1) =11a(2) =75a(3) =410a(4) =1975a(5) =8778a(6) =36938a(7) =149501a(8) =587951a(9) =2262375a(10) =8558854a(11) =31945379a(12) =117939506a(13) =431530926a(14) =1567159901a(15) =5655480303a(16) =20299352107a(17) =72522832282a(18) =258054207727a(19) =914973048634