Number of binary strings of length n with equal numbers of 00100 and 00110 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =195a(9) =370a(10) =706a(11) =1352a(12) =2588a(13) =4952a(14) =9477a(15) =18157a(16) =34854a(17) =67040a(18) =129191a(19) =249346a(20) =481877a(21) =932352a(22) =1806008a(23) =3502388a(24) =6800114a(25) =13218020a(26) =25721341a(27) =50103831a(28) =97694970a(29) =190666603