a(n+8)+34*a(n+4)+a(n)=0 with a(0)-a(7) as shown.

Terms

a(0) =1a(1) =5a(2) =12a(3) =12a(4) =-29a(5) =-169a(6) =-408a(7) =-408a(8) =985a(9) =5741a(10) =13860a(11) =13860a(12) =-33461a(13) =-195025a(14) =-470832a(15) =-470832a(16) =1136689a(17) =6625109a(18) =15994428a(19) =15994428a(20) =-38613965a(21) =-225058681a(22) =-543339720a(23) =-543339720a(24) =1311738121a(25) =7645370045a(26) =18457556052a(27) =18457556052a(28) =-44560482149