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

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =3a(5) =7a(6) =11a(7) =15a(8) =27a(9) =45a(10) =65a(11) =101a(12) =161a(13) =251a(14) =381a(15) =573a(16) =865a(17) =1321a(18) =1975a(19) =2965a(20) =4387a(21) =6467a(22) =9579a(23) =14091a(24) =20669a(25) =30135a(26) =43869a(27) =63531a(28) =91831a(29) =132575