Generalized Thue-Morse Continued Fractions
arXiv:1302.1900
Abstract
The Thue-Morse sequence is generalized to the sequences and two equivalent definitions are given. This generalization leads to transcendental numbers and has Queffélec's theorem on Thue-Morse continued fractions as a special case. It is also shown that the theorem of Adamczewski and Bugeaud for palindromic continued fractions cannot be applied in this case.
9 pages