Number of integer compositions of n whose leaders of weakly increasing runs are distinct.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =13a(6) =23a(7) =40a(8) =69a(9) =119a(10) =200a(11) =335a(12) =557a(13) =917a(14) =1499a(15) =2433a(16) =3920a(17) =6280a(18) =10004a(19) =15837a(20) =24946a(21) =39087a(22) =60952a(23) =94606a(24) =146203a(25) =224957a(26) =344748a(27) =526239a(28) =800251a(29) =1212527