The Robots Exclusion Protocol does a lot of things, but it doesn't have a provision for specifying your site's home page. (more information: http://janeandrobot.com/library/managing-robots-access-to-your-website).
There are two potential solutions to this that will work for both search engines and for customers of your website. The best option would be to simply add some text within the tag describing the message of the Flash animation and include a link to your home page. This way search engines will be able to understand what the page is about, and have a link to your home page. This is also a good solution for your real customers who might be visiting from an iPhone and not have the option to install Flash. You'll want to provide these folks with a mechanism to get to your home page and some context for the page they landed on.
The second option, would be to implement Michał Górny's suggestion above, turning the gateway into a javascript overlay on your true home page.
You'll also want to make sure that you've created a good title tag and meta description tag for your page. I see that many flash pages often forget this crucial step.
What you don't want to do is to detect the search engines bots and provide a different experience for them, than you provide for your customers. This would violate the webmaster guidelines for google, microsoft and yahoo, and likely trip automated quality checks by the search engines and possibly result in some sort of penalty.
Nathan Buggia (Technical Evangelist for Microsoft Bing)