a(n) = number of length-n binary strings with A006697(n) distinct substrings.

Terms

a(0) =1a(1) =2a(2) =2a(3) =6a(4) =8a(5) =4a(6) =18a(7) =38a(8) =48a(9) =40a(10) =16a(11) =80a(12) =210a(13) =402a(14) =644a(15) =852a(16) =928a(17) =912a(18) =704a(19) =256a(20) =1344a(21) =3944a(22) =9276a(23) =19448a(24) =37090a(25) =65602a(26) =107388a(27) =160760a(28) =220200