Jean-Paul Allouche and Jeffrey Shallit, Automatic Sequences: Theory, Applications, Generalizations, Cambridge University Press, Cambridge, 2003.
Gilles Christol, Globally bounded solutions of differential equations, in Analytic Number Theory (Tokyo, 1988), Lecture Notes in Mathematics, 1434, Springer-Berlin, 1990, pp. 45–64.
James D. Currie, Pattern avoidance: themes and variations, Theoretical Computer Science 339 (2005), 7–18.
Eric Rowland and Reem Yassawi, Automatic congruences for diagonals of rational functions, Journal de Théorie des Nombres de Bordeaux, to appear. http://arxiv.org/abs/1310.8635 (2014).