Number of binary strings of length n with equal numbers of 00000 and 00101 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =57a(7) =108a(8) =206a(9) =391a(10) =743a(11) =1414a(12) =2695a(13) =5137a(14) =9802a(15) =18722a(16) =35796a(17) =68500a(18) =131209a(19) =251572a(20) =482821a(21) =927524a(22) =1783553a(23) =3432962a(24) =6614125a(25) =12755369a(26) =24622325a(27) =47574852a(28) =92009827a(29) =178112610