Number of Dyck paths of semilength n such that the number of peaks is weakly increasing from lower to higher levels and no positive level is peakless.

A288146

Number of Dyck paths of semilength n such that the number of peaks is weakly increasing from lower to higher levels and no positive level is peakless.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =3a(5) =13a(6) =28a(7) =65a(8) =199a(9) =540a(10) =1468a(11) =4188a(12) =12328a(13) =36870a(14) =110181a(15) =331226a(16) =1012241a(17) =3137822a(18) =9796834a(19) =30695164a(20) =96658857a(21) =306575170a(22) =979485119a(23) =3148413910a(24) =10169223709a(25) =32983822120a(26) =107413795300a(27) =351235602807

External references