where Fi is the ith Fibonacci number. (0!F is 1 since it is the empty product.)
The Fibonorial of n (n!F) is defined analogously to the factorial of n (n!).
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.
Almost-Fibonorial numbers: n!F − 1.
Quasi-Fibonorial numbers: n!F + 1.
Cf. A003266 Product of first n nonzero Fibonacci numbers F(1), ..., F(n).
- Weisstein, Eric W. "Fibonorial". MathWorld. Wolfram Research. Retrieved 19 December 2009.