  In this note we use the analogy between the Catalan sequence and the Rueppel
sequence to derive a variety of conjectures surrounding the Hankel transforms
of a number of sequences closely related to the Rueppel sequence. Use is made
of the representation of suitable generating functions by Stieltjes continued
fractions. We define polynomial sequences by introducing parameters that define
generalized Rueppel sequences, and we show that such polynomials have
coefficient arrays that are Riordan arrays. Finally we conjecture the form of a
product of Hankel transforms arising from the Rueppel sequence.
