Number of Dyck paths of semilength n such that each positive level up to the highest nonempty level has exactly one peak.

A287846

Number of Dyck paths of semilength n such that each positive level up to the highest nonempty level has exactly one peak.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =2a(4) =0a(5) =4a(6) =6a(7) =8a(8) =24a(9) =52a(10) =96a(11) =212a(12) =504a(13) =1072a(14) =2352a(15) =5288a(16) =11928a(17) =26800a(18) =60336a(19) =136304a(20) =308928a(21) =701248a(22) =1593120a(23) =3622016a(24) =8245008a(25) =18787360a(26) =42836928a(27) =97724384a(28) =223052784a(29) =509338816

External references