Beer recipes are a dime a dozen. Recipes in general can't be copyrighted, the legal folks can correct if wrong (looks like they already have weighed in). As said keep it secret, like the Coke Cola recipe if you think it is supper special.
There are recipes for Pliny the Elder on the web, supplied by Vinnie Cilurzo. Now why would he do that? He says the equipment and procedures are hard to duplicate, so you get a similar beer, but not exactly the same. Sort of like Grandma's apple pie recipe.
MY homebrew club did an activity that weighed out the same ingredients in kits - malt, hops and yeast - for club members to brew a home, so water and process were not controlled. When judged there was a 20 point spread. So much for a recipe being special.