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

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =10a(6) =19a(7) =34a(8) =63a(9) =116a(10) =218a(11) =405a(12) =763a(13) =1436a(14) =2714a(15) =5127a(16) =9718a(17) =18422a(18) =34968a(19) =66397a(20) =126168a(21) =239820a(22) =456027a(23) =867325a(24) =1649970a(25) =3139288a(26) =5973746a(27) =11368487a(28) =21636909a(29) =41182648