Number of binary strings of length n with equal numbers of 00011 and 11000 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =106a(8) =204a(9) =396a(10) =768a(11) =1488a(12) =2886a(13) =5610a(14) =10926a(15) =21306a(16) =41580a(17) =81204a(18) =158712a(19) =310444a(20) =607672a(21) =1190240a(22) =2332688a(23) =4574284a(24) =8974808a(25) =17617864a(26) =34601670a(27) =67990286a(28) =133657768a(29) =262864296