[OPEN] Radio Shack - Single Pin LED Strip - Help

I'm sure this community does not allow bump posts; however, I am checking this post multiple times a day looking for some help or advice on how to proceed. I can contribute to the above code by stating that I am using an Arduino Uno. Another question I came up with is the uint32_t data type. I can find a lot of people using it online; however, I don't see much documentation as to what it is or how it works in storing data. Any help there would also be greatly appreciated in reference to the above code.