Number of Dyck paths of semilength n for which the number of ascents of length 1 is equal to the number of descents of length 1.

A112412

Number of Dyck paths of semilength n for which the number of ascents of length 1 is equal to the number of descents of length 1.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =30a(6) =82a(7) =237a(8) =708a(9) =2188a(10) =6980a(11) =22814a(12) =75994a(13) =257266a(14) =883006a(15) =3065757a(16) =10748620a(17) =38005844a(18) =135385700a(19) =485439532a(20) =1750738084a(21) =6347006468a(22) =23118315044a(23) =84565309214a(24) =310536661002

External references