a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=2, a(2)=2.

Terms

a(0) =1a(1) =2a(2) =2a(3) =5a(4) =6a(5) =17a(6) =22a(7) =65a(8) =86a(9) =257a(10) =342a(11) =1025a(12) =1366a(13) =4097a(14) =5462a(15) =16385a(16) =21846a(17) =65537a(18) =87382a(19) =262145a(20) =349526a(21) =1048577a(22) =1398102a(23) =4194305a(24) =5592406a(25) =16777217a(26) =22369622a(27) =67108865a(28) =89478486a(29) =268435457