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

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =9a(6) =17a(7) =29a(8) =51a(9) =91a(10) =162a(11) =291a(12) =523a(13) =948a(14) =1712a(15) =3112a(16) =5656a(17) =10297a(18) =18763a(19) =34217a(20) =62442a(21) =114006a(22) =208239a(23) =380465a(24) =695342a(25) =1271046a(26) =2323818a(27) =4249113a(28) =7770389a(29) =14210991