Number of binary strings of length n with equal numbers of 00011 and 01100 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =106a(8) =202a(9) =387a(10) =740a(11) =1415a(12) =2715a(13) =5220a(14) =10056a(15) =19400a(16) =37470a(17) =72485a(18) =140420a(19) =272380a(20) =529010a(21) =1028599a(22) =2002236a(23) =3901670a(24) =7610660a(25) =14859715a(26) =29039645a(27) =56799548a(28) =111186736a(29) =217819188