Total sum of half the difference between the area above and the area below the path, measured within the smallest enclosing rectangle based on the x-axis, in all Dyck paths of semilength n.

A300996

Total sum of half the difference between the area above and the area below the path, measured within the smallest enclosing rectangle based on the x-axis, in all Dyck paths of semilength n.

Terms

    a(0) =0a(1) =0a(2) =0a(3) =1a(4) =6a(5) =28a(6) =122a(7) =516a(8) =2142a(9) =8776a(10) =35630a(11) =143757a(12) =577548a(13) =2313400a(14) =9246556a(15) =36899291a(16) =147073062a(17) =585662952a(18) =2330527172a(19) =9268803248a(20) =36847836764a(21) =146441131058a(22) =581850689938

External references