Number of rucksack compositions of n: every distinct partial run has a different sum.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =6a(5) =12a(6) =22a(7) =39a(8) =68a(9) =125a(10) =227a(11) =402a(12) =710a(13) =1280a(14) =2281a(15) =4040a(16) =7196a(17) =12780a(18) =22623a(19) =40136a(20) =71121a(21) =125863a(22) =222616a(23) =393305a(24) =695059a(25) =1227990a(26) =2167059a(27) =3823029a(28) =6743268a(29) =11889431