Number of compositions of n such that every distinct consecutive subsequence has a different sum.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =5a(5) =10a(6) =12a(7) =24a(8) =26a(9) =47a(10) =50a(11) =96a(12) =104a(13) =172a(14) =188a(15) =322a(16) =335a(17) =552a(18) =590a(19) =938a(20) =1002a(21) =1612a(22) =1648a(23) =2586a(24) =2862a(25) =4131a(26) =4418a(27) =6718a(28) =7122a(29) =10332