Number of binary strings of length n with equal numbers of 00011 and 00100 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =195a(9) =367a(10) =694a(11) =1316a(12) =2504a(13) =4776a(14) =9129a(15) =17479a(16) =33524a(17) =64407a(18) =123954a(19) =238955a(20) =461401a(21) =892313a(22) =1728230a(23) =3351946a(24) =6509835a(25) =12658663a(26) =24644521a(27) =48032935a(28) =93716746a(29) =183032843