Number of Dyck paths of semilength n having exactly one occurrence of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).
A243770
Number of Dyck paths of semilength n having exactly one occurrence of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).
Terms
- a(0) =1a(1) =1a(2) =3a(3) =11a(4) =16a(5) =57a(6) =161a(7) =927a(8) =1997a(9) =5539a(10) =25638a(11) =68850a(12) =275765a(13) =995088a(14) =2784600a(15) =19235059a(16) =53549250a(17) =177389053a(18) =711629836a(19) =2641203240a(20) =7517769634a(21) =31706388438a(22) =147201204924a(23) =455738363552
External references
- oeis: A243770