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

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =8a(5) =14a(6) =40a(7) =72a(8) =208a(9) =376a(10) =1088a(11) =1968a(12) =5696a(13) =10304a(14) =29824a(15) =53952a(16) =156160a(17) =282496a(18) =817664a(19) =1479168a(20) =4281344a(21) =7745024a(22) =22417408a(23) =40553472a(24) =117379072a(25) =212340736a(26) =614604800a(27) =1111830528a(28) =3218112512a(29) =5821620224