Number of Dyck paths of semilength n such that the area under the right half of the path equals the area under the left half of the path.

A300323

Number of Dyck paths of semilength n such that the area under the right half of the path equals the area under the left half of the path.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =12a(6) =28a(7) =69a(8) =186a(9) =522a(10) =1536a(11) =4638a(12) =14408a(13) =45568a(14) =146884a(15) =479871a(16) =1589516a(17) =5320854a(18) =18000198a(19) =61412376a(20) =211282386a(21) =731973720a(22) =2553168136a(23) =8957554412a(24) =31604599044a(25) =112060048354a(26) =399227283950

External references