A family of non-sofic beta expansions
  Let \beta_n>1 be a root of x^n-x-1 for n=4,5,... We will prove that \beta_n is not a Parry number, i.e., the associated beta transformation does not correspond a sofic symbolic system. A generalization is shown in the last section. 
Shigeki Akiyama
math.NT math.DS