MatrixPower[{{0,1,0,0,0,0,0,0},{1,0,1,0,0,0,0,0},{0,1,0,1,0,0,0,0},{0,0,1,0,1,0,0,0},{0,0,0,1,0,1,0,0},{0,0,0,0,1,0,1,0},{0,0,0,0,0,1,0,1},{0,0,0,0,0,0,1,0}},21]