Number of binary strings of length n with equal numbers of 00101 and 10110 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =106a(8) =201a(9) =384a(10) =735a(11) =1409a(12) =2702a(13) =5192a(14) =9989a(15) =19250a(16) =37140a(17) =71756a(18) =138793a(19) =268798a(20) =521153a(21) =1011590a(22) =1965609a(23) =3823366a(24) =7444195a(25) =14507977a(26) =28300083a(27) =55252242a(28) =107962392a(29) =211126700