(2*Range[0, 20])^12 (* or *) LinearRecurrence[{13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1}, {0, 4096, 16777216, 2176782336, 68719476736, 1000000000000, 8916100448256, 56693912375296, 281474976710656, 1156831381426176, 4096000000000000, 12855002631049216, 36520347436056576}, 20] (*
Harvey P. Dale, Apr 05 2018 *)