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Fibonorial

In mathematics, the Fibonorial , also called the Fibonacci factorial, where is a nonnegative integer, is defined as the product of the first positive Fibonacci numbers, i.e.

n! :  = ∏F,  n ≥ 0, 

where is the Fibonacci number, and gives the empty product (defined as the multiplicative identity, i.e. 1).

The Fibonorial is defined analogously to the factorial . The Fibonorial numbers are used in the definition of Fibonomial coefficients (or Fibonacci-binomial coefficients) similarly as the factorial numbers are used in the definition of binomial coefficients.