a(n) is the number of compositions of n in which the maximum part size is 5.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =2a(7) =5a(8) =12a(9) =28a(10) =63a(11) =139a(12) =303a(13) =653a(14) =1394a(15) =2953a(16) =6215a(17) =13008a(18) =27095a(19) =56201a(20) =116143a(21) =239231a(22) =491326a(23) =1006420a(24) =2056633a(25) =4193706a(26) =8534653a(27) =17337764a(28) =35162804a(29) =71205504