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Constructing Morphisms for Arithmetic Subsequences of Fibonacci

  • Wieb Bosma,
  • Henk Don

摘要

From a general theorem by Dekking it follows that an arithmetic subsequence of any morphic sequence is morphic again. The construction of such a morphism is not directly obvious. In this note we demonstrate the explicit construction of a morphism generating an arbitrary arithmetic subsequence of the infinite fixed point of the Fibonacci morphism.