a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=1, a(2)=6.

Terms

a(0) =1a(1) =1a(2) =6a(3) =7a(4) =44a(5) =52a(6) =328a(7) =388a(8) =2448a(9) =2896a(10) =18272a(11) =21616a(12) =136384a(13) =161344a(14) =1017984a(15) =1204288a(16) =7598336a(17) =8988928a(18) =56714752a(19) =67094272a(20) =423324672a(21) =500798464a(22) =3159738368a(23) =3738010624a(24) =23584608256a(25) =27900891136a(26) =176037912576a(27) =208255086592