Number of compositions of n whose non-adjacent parts are weakly decreasing.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =12a(6) =19a(7) =30a(8) =46a(9) =69a(10) =102a(11) =149a(12) =214a(13) =304a(14) =428a(15) =596a(16) =823a(17) =1127a(18) =1532a(19) =2068a(20) =2774a(21) =3697a(22) =4900a(23) =6460a(24) =8474a(25) =11061a(26) =14375a(27) =18600a(28) =23970a(29) =30770