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#

Families of Continued Fractions

In this report, a family of continued fractions is any function
such that the continued fraction of
grows linearly with respect to one, or more, of the
variables *k*_{i}. Another requirement is that each partial
quotient in the expansion of
must be predictable. The
primitive (smallest possible) period length of
is given
by the linear function .

*mcenter*

*2000-01-06*