Number of binary strings of length n with equal numbers of 00010 and 10101 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =105a(8) =198a(9) =373a(10) =703a(11) =1331a(12) =2526a(13) =4800a(14) =9140a(15) =17438a(16) =33329a(17) =63819a(18) =122416a(19) =235214a(20) =452699a(21) =872650a(22) =1684725a(23) =3257267a(24) =6306430a(25) =12226254a(26) =23733263a(27) =46126348a(28) =89751793a(29) =174829691