Theorem 6
Let
a_{i} = 2m(4m-1)^{2n-i} - 1,
b_{i} = 8m(4m-1)^{2n-i} - 1,
k = 4m(4m-1)^{2n} - 1 and
d = k^{2} +
4(4m-1)^{2n},
where
such that
and .
Then,

Theorem 7
Let a_{i} and b_{i} be as they were in Theorem 1, let
k =
4m(4m-1)^{2n+1} - 1, and
d = k^{2} + 4(4m-1)^{2n+1}, where
such that
and .
Then,