Number of maximal subsets of {1..n} containing n such that every subset has a different sum.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =4a(5) =8a(6) =10a(7) =12a(8) =17a(9) =34a(10) =45a(11) =77a(12) =99a(13) =136a(14) =166a(15) =200a(16) =238a(17) =328a(18) =402a(19) =660a(20) =674a(21) =1166a(22) =1331a(23) =1966a(24) =2335a(25) =3286a(26) =3527a(27) =4762a(28) =5383a(29) =6900