The paper deals with the estimation of the Hausdorff dimension of sets , where is the continued fraction expansion of x. According to a result of Th. Cusick, the dimension is characterized by the convergence-exponent of the series
where the inner sum is carried out over the B’s with with and
The novelty in the paper is the use of a recursion-formula making the use of computers more efficient in the calculating of the convergence- exponent of the series (1).