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

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =5a(5) =7a(6) =13a(7) =27a(8) =45a(9) =73a(10) =117a(11) =205a(12) =365a(13) =631a(14) =1061a(15) =1711a(16) =2777a(17) =4599a(18) =7657a(19) =12855a(20) =21409a(21) =35059a(22) =56721a(23) =91149a(24) =146161a(25) =234981a(26) =379277a(27) =612825a(28) =988781a(29) =1587635