Number of Dyck paths of semilength n such that the maximal number of peaks per level equals three.

A288744

Number of Dyck paths of semilength n such that the maximal number of peaks per level equals three.

Terms

    a(0) =1a(1) =1a(2) =9a(3) =29a(4) =112a(5) =405a(6) =1514a(7) =5565a(8) =20249a(9) =73416a(10) =265616a(11) =957677a(12) =3441282a(13) =12329838a(14) =44062706a(15) =157105923a(16) =559009643a(17) =1985301783a(18) =7038496811a(19) =24913917722a(20) =88058727525a(21) =310832221932

External references