Number of Motzkin meanders of length n with an odd number of humps and without peaks.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =5a(5) =18a(6) =56a(7) =160a(8) =432a(9) =1121a(10) =2827a(11) =6988a(12) =17052a(13) =41334a(14) =100082a(15) =243205a(16) =595313a(17) =1471278a(18) =3674756a(19) =9272410a(20) =23605202a(21) =60513201a(22) =155893167a(23) =402819550a(24) =1042358942a(25) =2697994240a(26) =6979913196a(27) =18041181065a(28) =46583002021a(29) =120161923640