Number of integer compositions of n in which the greatest part appears more than once.

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =4a(5) =9a(6) =18a(7) =37a(8) =73a(9) =145a(10) =287a(11) =570a(12) =1134a(13) =2264a(14) =4526a(15) =9061a(16) =18152a(17) =36374a(18) =72884a(19) =146011a(20) =292416a(21) =585422a(22) =1171632a(23) =2344136a(24) =4688821a(25) =9376832a(26) =18749169a(27) =37485358a(28) =74939850a(29) =149813328