Number of Lyndon compositions of n that are not weakly increasing.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =4a(7) =11a(8) =28a(9) =60a(10) =131a(11) =263a(12) =530a(13) =1029a(14) =2009a(15) =3853a(16) =7414a(17) =14152a(18) =27105a(19) =51755a(20) =99069a(21) =189558a(22) =363468a(23) =697302a(24) =1340220a(25) =2578362a(26) =4968001a(27) =9582682a(28) =18508226a(29) =35784670