Number of binary strings of length n with equal numbers of 00001 and 00100 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =106a(8) =203a(9) =391a(10) =749a(11) =1431a(12) =2738a(13) =5258a(14) =10127a(15) =19523a(16) =37650a(17) =72669a(18) =140466a(19) =271941a(20) =527134a(21) =1022805a(22) =1986422a(23) =3861827a(24) =7515768a(25) =14641620a(26) =28549722a(27) =55716742a(28) =108825390a(29) =212729853