Number of binary strings of length n with equal numbers of 00100 and 01110 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =193a(9) =362a(10) =682a(11) =1291a(12) =2452a(13) =4664a(14) =8889a(15) =16971a(16) =32464a(17) =62233a(18) =119541a(19) =230075a(20) =443629a(21) =856860a(22) =1657664a(23) =3211715a(24) =6231561a(25) =12107193a(26) =23552895a(27) =45874162a(28) =89450770a(29) =174607342