a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=3, a(2)=7.

Terms

a(0) =1a(1) =3a(2) =7a(3) =22a(4) =52a(5) =164a(6) =388a(7) =1224a(8) =2896a(9) =9136a(10) =21616a(11) =68192a(12) =161344a(13) =508992a(14) =1204288a(15) =3799168a(16) =8988928a(17) =28357376a(18) =67094272a(19) =211662336a(20) =500798464a(21) =1579869184a(22) =3738010624a(23) =11792304128a(24) =27900891136a(25) =88018956288a(26) =208255086592