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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =12a(6) =28a(7) =88a(8) =208a(9) =656a(10) =1552a(11) =4896a(12) =11584a(13) =36544a(14) =86464a(15) =272768a(16) =645376a(17) =2035968a(18) =4817152a(19) =15196672a(20) =35955712a(21) =113429504a(22) =268377088a(23) =846649344a(24) =2003193856a(25) =6319476736a(26) =14952042496a(27) =47169216512a(28) =111603564544