User blog:MachineGunSuper/Fractal Factorial

The fractional factorial is defined like this:

xǂ = (x/2)*(x/3)*(x/4)*......*(x/x) Here are some values of the fractional factorial

1ǂ = 1/2

2ǂ = 1

3ǂ = 1.5

4ǂ = 2.66666.....

5ǂ = 5.2

6ǂ = 10.8

7ǂ = 23.34

8ǂ = 52

9ǂ = 118.6

10ǂ = 275.5

xǂǂ = x * xǂ

3ǂǂ = 4.5

10ǂǂ = 2755

xǂǂǂ = x! * xǂǂ

'''xǂǂǂǂ = x!! * xǂǂǂ'''

xǂǂǂ....ǂǂǂ(with n ǂ's) = ((..((x!)!)!)!)!).....)) (with n-2 !'s) * xǂǂǂ....ǂǂ(with n-1 ǂ's)

Eg: 3ǂǂǂǂ = 19440