Number of binary strings of length n with equal numbers of 00010 and 01100 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =194a(9) =366a(10) =694a(11) =1324a(12) =2532a(13) =4848a(14) =9296a(15) =17842a(16) =34298a(17) =66042a(18) =127382a(19) =246122a(20) =476294a(21) =923084a(22) =1791428a(23) =3481020a(24) =6772284a(25) =13190340a(26) =25718480a(27) =50197176a(28) =98069428a(29) =191772058