Number of binary strings of length n with equal numbers of 00011 and 00101 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =192a(9) =352a(10) =646a(11) =1188a(12) =2192a(13) =4064a(14) =7584a(15) =14252a(16) =26976a(17) =51424a(18) =98688a(19) =190528a(20) =369734a(21) =720572a(22) =1409128a(23) =2762896a(24) =5427776a(25) =10677636a(26) =21024560a(27) =41421648a(28) =81633536a(29) =160908160