If the normal parent carries no stripe gene, then all of your offspring will be normal patterned. You need to find two parents that share the stripe gene in some way in order for the babies to exhibit it visually. a het stripe X het stripe, a het stripe X stripe, or a stripe X stripe will all yield stripes.
Just like amel, anery, etc etc, the stripe gene is a genetic mutation that occured. Why... eh, why is grass green? Who knows. But it is a simple recessive gene. Just like amel, if you breed it to a normal that does not carry the amel gene, you will get normals het amel. If you're not sure how recessive genes work, then check out the FAQ section. Joe has done a very good job on explaining how recessive genes work in simple terms that are pretty easy to understand. Once you have that down, then you can go to Serpwidgets genetics tutorial, and that will go a little more in-depth.