Regression Analysis: want to learn how to get data formula

I would like to know how to get a formula or group of formulas from a set of numbers. From analyzing the data, I know that I will need a formula for the first several numbers, another formula for the odd other numbers, and another formula for the even other numbers.

I think regression analysis would help but I can't seem to find a calculator or computer program that will do modulus piecewise formulaic regression when I don't even know where to start.

The data table is on this website:

http://www.math.miami.edu/~jam/azure/forum/tuff/ultimatebb.php?ubb=get_topic;f=1;t=001260

Re: Regression Analysis

Regression is one way to develope such things. Theoretical understanding of the data would be the more important first step.