Fibonacci Factorial

[IsaacAsimov]

Here's a new factorial function I invented that uses the Fibonacci sequence 1,1,2,3,5,...

 

The Fibonacci Factorial, or Fib! is defined as the product of all the Fibonacci numbers up to n.

 

Examples: 1Fib!=1, 2Fib!=1*1*2=2, 3Fib!=1*1*2*3=6, 4Fib!=undefined, 5Fib!=1*1*2*3*5=30

 

I don't know if this function would be useful for mathematics. Please give me some input.

 

Isaac

[imatfaal]

Sloan Sequence A052449 http://oeis.org/A052449

 

http://mathworld.wolfram.com/FibonacciNumber.html - about 2/3 of the way down. Doesn't seem that much has been done with the product