Number of binary strings of length n with equal numbers of 00011 and 01101 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =106a(8) =201a(9) =380a(10) =719a(11) =1367a(12) =2604a(13) =4968a(14) =9495a(15) =18192a(16) =34922a(17) =67157a(18) =129371a(19) =249660a(20) =482573a(21) =934191a(22) =1811073a(23) =3515899a(24) =6834410a(25) =13301367a(26) =25917482a(27) =50554817a(28) =98713770a(29) =192935409