Number of hill-free Dyck paths of semilength n, having no UUDD's, where U=(1,1) and D=(1,-1) (a hill in a Dyck path is a peak at level 1).
A105641
Number of hill-free Dyck paths of semilength n, having no UUDD's, where U=(1,1) and D=(1,-1) (a hill in a Dyck path is a peak at level 1).
Terms
- a(0) =0a(1) =1a(2) =2a(3) =5a(4) =14a(5) =39a(6) =111a(7) =322a(8) =947a(9) =2818a(10) =8470a(11) =25677a(12) =78420a(13) =241061a(14) =745265a(15) =2315794a(16) =7228702a(17) =22656505a(18) =71273364a(19) =224965675a(20) =712249471a(21) =2261326010a(22) =7197988973a(23) =22966210236a(24) =73437955105a(25) =235307698544a(26) =755395560220
External references
- oeis: A105641