Number of binary strings of length n which are losing configurations in the palindrome game.

Terms

a(0) =0a(1) =0a(2) =2a(3) =0a(4) =4a(5) =0a(6) =18a(7) =4a(8) =56a(9) =12a(10) =156a(11) =80a(12) =568a(13) =424a(14) =1856a(15) =2080a(16) =6548a(17) =8524a(18) =22430a(19) =33840a(20) =80672a(21) =132704a(22) =292428a(23) =510892a(24) =1079282a(25) =1955388a(26) =3990564a(27) =7453012a(28) =14928434a(29) =28406028