Number of binary strings of length n with equal numbers of 00001 and 00110 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =106a(8) =200a(9) =379a(10) =722a(11) =1375a(12) =2624a(13) =5022a(14) =9626a(15) =18488a(16) =35584a(17) =68601a(18) =132477a(19) =256257a(20) =496426a(21) =963067a(22) =1870919a(23) =3639182a(24) =7087194a(25) =13817782a(26) =26968902a(27) =52689291a(28) =103036294a(29) =201670050