Area under Motzkin excursions.

Terms

a(0) =0a(1) =1a(2) =4a(3) =16a(4) =56a(5) =190a(6) =624a(7) =2014a(8) =6412a(9) =20219a(10) =63284a(11) =196938a(12) =610052a(13) =1882717a(14) =5792528a(15) =17776102a(16) =54433100a(17) =166374109a(18) =507710420a(19) =1547195902a(20) =4709218604a(21) =14318240578a(22) =43493134160a(23) =132003957436a(24) =400337992056