Area under Dyck paths.

Terms

a(0) =1a(1) =6a(2) =19a(3) =58a(4) =146a(5) =380a(6) =883a(7) =2138a(8) =4774a(9) =11092a(10) =24190a(11) =54724a(12) =117508a(13) =260920a(14) =554179a(15) =1213690a(16) =2557022a(17) =5541092a(18) =11601610a(19) =24930860a(20) =51942076a(21) =110861896a(22) =230053614a(23) =488253348a(24) =1009853116a(25) =2133122760a(26) =4399720348a(27) =9256078408