Determinant of the pentadiagonal symmetric n X n Toeplitz Matrix with a=b=1, c=2.

Terms

a(0) =1a(1) =1a(2) =0a(3) =-1a(4) =7a(5) =32a(6) =9a(7) =1a(8) =-32a(9) =495a(10) =567a(11) =288a(12) =-935a(13) =3025a(14) =15840a(15) =9503a(16) =2023a(17) =-29920a(18) =236457a(19) =312481a(20) =304096a(21) =-639153a(22) =1252503a(23) =7566624a(24) =7396345a(25) =2283121a(26) =-20452896a(27) =108556415a(28) =167727175a(29) =236683040