Number of binary strings of length n with equal numbers of 00010 and 11001 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =192a(9) =354a(10) =654a(11) =1212a(12) =2256a(13) =4222a(14) =7944a(15) =15028a(16) =28576a(17) =54594a(18) =104746a(19) =201726a(20) =389766a(21) =755210a(22) =1466812a(23) =2854758a(24) =5565712a(25) =10867222a(26) =21245758a(27) =41582248a(28) =81464040a(29) =159734210