Compositions and Fibonacci Identities

نویسندگان

  • Ira M. Gessel
  • Ji Li
چکیده

We study formulas for Fibonacci numbers as sums over compositions. The Fibonacci number Fn+1 is the number of compositions of n with parts 1 and 2. Compositions with parts 1 and 2 form a free monoid under concatenation, and our formulas arise from free submonoids of this free monoid.

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تاریخ انتشار 2013