Number of maximal subsets of {1..n} containing no sums of distinct elements.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =3a(5) =6a(6) =11a(7) =16a(8) =20a(9) =32a(10) =53a(11) =78a(12) =107a(13) =149a(14) =206a(15) =292a(16) =391a(17) =556a(18) =782a(19) =1062a(20) =1451a(21) =1929a(22) =2564a(23) =3404a(24) =4431a(25) =5853a(26) =7672a(27) =9999a(28) =12973a(29) =16922