Number of Dyck paths of semilength n such that no level has more than six peaks.

A287970

Number of Dyck paths of semilength n such that no level has more than six peaks.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =14a(5) =42a(6) =132a(7) =428a(8) =1428a(9) =4843a(10) =16704a(11) =58311a(12) =205731a(13) =732201a(14) =2625406a(15) =9473836a(16) =34375133a(17) =125325836a(18) =458831723a(19) =1686029403a(20) =6215738207a(21) =22981481106a(22) =85189188184a(23) =316514511424

External references