Number of binary strings of length n with equal numbers of 00010 and 00100 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =58a(7) =112a(8) =219a(9) =425a(10) =824a(11) =1598a(12) =3106a(13) =6044a(14) =11761a(15) =22891a(16) =44576a(17) =86871a(18) =169395a(19) =330474a(20) =645020a(21) =1259600a(22) =2461056a(23) =4810942a(24) =9409098a(25) =18410724a(26) =36041129a(27) =70587539a(28) =138310568a(29) =271128693