Number of binary strings of length n with equal numbers of 00010 and 10011 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =194a(9) =362a(10) =678a(11) =1276a(12) =2410a(13) =4570a(14) =8696a(15) =16596a(16) =31764a(17) =60950a(18) =117230a(19) =225982a(20) =436512a(21) =844786a(22) =1637814a(23) =3180446a(24) =6185356a(25) =12046008a(26) =23489636a(27) =45858720a(28) =89627352a(29) =175346280