Total area under all peakless Motzkin paths of length n (n>=0).

Terms

a(0) =0a(1) =0a(2) =0a(3) =2a(4) =7a(5) =22a(6) =68a(7) =198a(8) =563a(9) =1578a(10) =4367a(11) =11980a(12) =32648a(13) =88500a(14) =238886a(15) =642598a(16) =1723629a(17) =4612170a(18) =12316357a(19) =32832302a(20) =87390763a(21) =232305470a(22) =616812557a(23) =1636084020a(24) =4335770052a(25) =11480937084a(26) =30379110906a(27) =80332372838a(28) =212300488377