Number of compositions of n whose run-lengths are unimodal.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =31a(7) =61a(8) =120a(9) =228a(10) =438a(11) =836a(12) =1580a(13) =2976a(14) =5596a(15) =10440a(16) =19444a(17) =36099a(18) =66784a(19) =123215a(20) =226846a(21) =416502a(22) =763255a(23) =1395952a(24) =2548444a(25) =4644578a(26) =8452200a(27) =15358445a(28) =27871024a(29) =50514295