Cellular Automata Rules and Linear Numbers
  In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers associated with linear CA rules are defined as linear numbers and the properties of these linear numbers are studied. 
Birendra Kumar Nayak, Sudhakar Sahoo and Sagarika Biswal
nlin.CG math.DS