Number of binary strings of length n with equal numbers of 00000 and 00100 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =57a(7) =108a(8) =209a(9) =403a(10) =777a(11) =1490a(12) =2863a(13) =5508a(14) =10620a(15) =20473a(16) =39472a(17) =76108a(18) =146873a(19) =283637a(20) =548101a(21) =1059573a(22) =2049320a(23) =3965725a(24) =7678931a(25) =14877381a(26) =28839531a(27) =55934330a(28) =108544038a(29) =210753678