Number of binary strings of length n with equal numbers of 00010 and 00110 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =192a(9) =358a(10) =670a(11) =1260a(12) =2384a(13) =4524a(14) =8616a(15) =16460a(16) =31520a(17) =60518a(18) =116458a(19) =224582a(20) =433990a(21) =840208a(22) =1629480a(23) =3165272a(24) =6157584a(25) =11995072a(26) =23395948a(27) =45685760a(28) =89307256a(29) =174752084