Number of binary strings of length n with equal numbers of 00000 and 00110 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =57a(7) =108a(8) =206a(9) =394a(10) =752a(11) =1439a(12) =2750a(13) =5264a(14) =10084a(15) =19328a(16) =37085a(17) =71190a(18) =136784a(19) =263004a(20) =506091a(21) =974649a(22) =1878414a(23) =3623144a(24) =6993799a(25) =13510826a(26) =26121009a(27) =50539754a(28) =97861779a(29) =189637682