Number of biquanimous subsets of {1..n}. Sets with a subset having the same sum as the complement.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =18a(7) =38a(8) =82a(9) =175a(10) =373a(11) =787a(12) =1651a(13) =3439a(14) =7126a(15) =14667a(16) =30049a(17) =61249a(18) =124440a(19) =251922a(20) =508779a(21) =1025183a(22) =2062287a(23) =4142644a(24) =8312927a(25) =16667005a(26) =33395275a(27) =66880828a(28) =133892910a(29) =267976571