Number of binary strings of length n with equal numbers of 00010 and 00101 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =58a(7) =112a(8) =216a(9) =419a(10) =815a(11) =1584a(12) =3082a(13) =6000a(14) =11680a(15) =22748a(16) =44328a(17) =86417a(18) =168560a(19) =328965a(20) =642336a(21) =1254855a(22) =2452677a(23) =4796160a(24) =9383194a(25) =18365759a(26) =35963669a(27) =70455176a(28) =138086900a(29) =270756554