Number of binary strings of length n with equal numbers of 00100 and 01101 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =194a(9) =363a(10) =682a(11) =1286a(12) =2432a(13) =4612a(14) =8766a(15) =16701a(16) =31887a(17) =61017a(18) =117001a(19) =224812a(20) =432789a(21) =834689a(22) =1612548a(23) =3120361a(24) =6047274a(25) =11736581a(26) =22809338a(27) =44385205a(28) =86473743a(29) =168662839