Number of binary strings of length n with equal numbers of 00011 and 01001 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =104a(8) =193a(9) =356a(10) =658a(11) =1219a(12) =2268a(13) =4236a(14) =7953a(15) =15008a(16) =28471a(17) =54273a(18) =103937a(19) =199870a(20) =385771a(21) =746959a(22) =1450317a(23) =2822573a(24) =5504131a(25) =10751164a(26) =21029657a(27) =41183517a(28) =80733301a(29) =158400985