Pricing an option with a binomial tree

Hey there guys, I need a little help on programming a binomial tree.

How do you set up a relative simple binomial tree with a probability of a half going up and down every time with the only requirement that the stock from value, lets say X follows the nodes in a recombinant tree for

x*exp(μδt+σ√δt) for going up x*exp(μδt-σ√δt) for going down

with N = t/δt

so that the stock price value will be something like

St= Stockprice at t zero * exp (μt+σ√t*((2Xn-n)/√n)

Any help is welcome. I'm looking to set up the basics of the binomial tree with the variables.