  We give one parameter generalizations of the Fibonacci and Lucas numbers
denoted by $\{F_n(\th)\}$ and $\{L_n(\th)\}$, respectively. We evaluate the
Hankel determinants with entries $\{1/F_{j+k+1}(\th): 0\le i,j \le n\}$ and
$\{1/L_{j+k+1}(\th): 0\le i,j\le n\}$. We also find the entries in the inverse
of $\{1/F_{j+k+1}(\th): 0\le i,j \le n\}$ and show that all its entries are
integers. Some of the identities satisfied by the Fibonacci and Lucas numbers
are extended to more general numbers. All integer solutions to three
diophantine equtions related to the Pell equation are also found.
