Need help to find formula of curve like Gamma or Rayleigh distribution

C

cronocr

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Oct 15, 2017
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Hello, I made an algorithm to do some expensive calculations, it's very time consuming. So I want to reduce it into a formula. Have tried regression equation calculators for exp, log, quadratic regressions and more, but no luck finding a fit. The curve is similar to a Gamma or Rayleigh distribution. Could someone help me device a formula for it?
 
We're really here to assist math students, not do commercial consulting. If you have a desire to describe what it is you are doing, I would be a little shocked if there were not some appropriate and fast numerical solution. Will you share the profits with freeMATHhelp?
 
Thank you. It's not a commercial project, I'm just doing theorical experimentation and need some one to point the direction to solve this. I'm a programmer not mathematician. So I have an algorithm that produces these points:
0, 0
1, 0
2, 0.499994639 (pretty sure this rounds to 1/2 as precision increases)
3, 0.222239242
4, 0.146475514
5, 0.107517374
6, 0.084395669
7, 0.069275198
8, 0.058765462
9, 0.051034467
10, 0.045056927

If I plot them produces a curve. Investigating I found the Rayleigh distribution is somehow similar, but doesn't match exactly.
Is there a way to find the formula that produces the curve?
 
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