Number of Dyck paths of semilength n having exactly one peak of maximum height.

A152880

Number of Dyck paths of semilength n having exactly one peak of maximum height.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =8a(4) =23a(5) =71a(6) =229a(7) =759a(8) =2566a(9) =8817a(10) =30717a(11) =108278a(12) =385509a(13) =1384262a(14) =5006925a(15) =18225400a(16) =66711769a(17) =245400354a(18) =906711758a(19) =3363516354a(20) =12522302087a(21) =46773419089a(22) =175232388955a(23) =658295899526

External references