Hello, I'm a freelance programmer and a part time game developer. I have been tasked with replicating the XP to Rank function used in some popular First Person Shooter games. I have the necessary data set and I'd like to find a mathematical function to express the correlation, but I can't see one with the given data, but I know it is there.

Here is what we know:

It is obviously exponential.

The function is most likely able to be expressed using addition, subtraction, division, multiplication, exponents, and maybe(unlikely) but maybe radians.

The data IS correlated, (it has to be, otherwise it wouldn't be efficient to just write the entire dataset as an array or table for use in the game)

and of course we know the data:

1=0

2=8

3=19

4=31

5=49

6=71

7=96

8=124

9=156

10=192

11=231

12=275

13=324

14=378

15=437

16=501

17=570

18=644

19=723

20=807

...

75=14644.5

Some of you might take this as a challenge, some might find it really easy, I just need a function...

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