Hi, Cole. I'm unfamiliar with Ancestry's accessibility tools, so apologies if I misunderstand how much information you've been able to gather from your Ancestry DNA report.
Can you elaborate what you mean by how your father doesn't compute? If he has never taken a DNA test, and he is not showing up as a match for you, that is normal.
Ancestry DNA works by showing you people, matches, that share DNA with you, and estimating their relationship to you based on how much DNA you both share. For example, if me and another person share 3% of our DNA, Ancestry will guess that we're second cousins. However, it's also possible that we're first cousins twice removed, or half first cousins once removed. It can only guess all this, however, if both people have taken a DNA test with Ancestry.
If you're the first person in your immediate family to take a DNA test, Ancestry can only suggest relationships to you based on how much DNA you share with other test takers. If you haven't already, I recommend manually building your family tree in Ancestry so that it has the information it needs to start suggesting more accurate relationships to you.
For example, if you and a second cousin on your father's side share DNA, and your second cousin has already built up a tree to your paternal great-grandparents, Ancestry won't know they're related to you on your dad's side. However, if you also build up your family tree to your great-grandparents, Ancestry will be able to recognize you not only share DNA, but also identical family tree data, and will suggest the exact ways in which you are connected. This tool is called ThruLines, and it's very helpful!
I hope this can help you somehow. Let me know if you need any more information or clarification. Best of luck and happy searching!