  We consider the implementation of the transduction of automatic sequences,
and their generalizations, in the Walnut software for solving decision problems
in combinatorics on words. We provide a number of applications, including (a)
representations of n! as a sum of three squares (b) overlap-free Dyck words and
(c) sums of Fibonacci representations. We also prove results about iterated
running sums of the Thue-Morse sequence.
