Number of binary strings of length n with equal numbers of 00010 and 01001 substrings.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =30a(6) =56a(7) =106a(8) =201a(9) =383a(10) =731a(11) =1400a(12) =2685a(13) =5156a(14) =9909a(15) =19064a(16) =36720a(17) =70816a(18) =136745a(19) =264380a(20) =511762a(21) =991752a(22) =1924037a(23) =3736615a(24) =7264096a(25) =14135378a(26) =27532213a(27) =53674478a(28) =104730354a(29) =204522173