Determinant of the matrix a(i,j) = 1 if abs(i-j) < 2 and -1 in the rest.

Terms

a(0) =-4a(1) =0a(2) =0a(3) =0a(4) =-64a(5) =0a(6) =256a(7) =1024a(8) =0a(9) =-4096a(10) =-12288a(11) =0a(12) =49152a(13) =131072a(14) =0a(15) =-524288a(16) =-1310720a(17) =0a(18) =5242880a(19) =12582912a(20) =0a(21) =-50331648a(22) =-117440512a(23) =0a(24) =469762048a(25) =1073741824a(26) =0a(27) =-4294967296a(28) =-9663676416a(29) =0