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

Terms

a(0) =1a(1) =1a(2) =3a(3) =4a(4) =14a(5) =20a(6) =72a(7) =104a(8) =376a(9) =544a(10) =1968a(11) =2848a(12) =10304a(13) =14912a(14) =53952a(15) =78080a(16) =282496a(17) =408832a(18) =1479168a(19) =2140672a(20) =7745024a(21) =11208704a(22) =40553472a(23) =58689536a(24) =212340736a(25) =307302400a(26) =1111830528a(27) =1609056256a(28) =5821620224a(29) =8425127936