Sum of the lengths of the first ascents in all n-length left factors of Dyck paths.

Terms

a(0) =1a(1) =3a(2) =6a(3) =13a(4) =24a(5) =49a(6) =90a(7) =181a(8) =335a(9) =671a(10) =1253a(11) =2507a(12) =4718a(13) =9437a(14) =17874a(15) =35749a(16) =68067a(17) =136135a(18) =260337a(19) =520675a(20) =999361a(21) =1998723a(22) =3848221a(23) =7696443a(24) =14857999a(25) =29715999a(26) =57500459a(27) =115000919a(28) =222981434a(29) =445962869