The most common examples, which are proven to be transcendental, are π and e. Dr. E couldn't remember any other proven examples, so I sent him a link to the Wikipedia page for transcendental numbers.
When he replied, thanking me and providing me with the quote at the beginning of this post, he fretted over having forgotten another set of famous mathematicians that also included an author in the mix. He felt it must be intimidating to be born into such a family, and how we could be thankful that we didn't have these legacies to uphold. I responded that it was probably a lot like being the child of a celebrity - you either make a name for yourself, and still constantly have to prove to the world that you made it based on your own talent and not because of who your mommy/daddy is, or you end up on Celebrity Fit Club/ Re-hab whining about how no one loves you and you can never live up to your parents expectations. He emailed me back to tell me that he appreciated my sense of humor and that he had a friend in grad school who wrote mathematical limericks, one of which he still remembered.
"We all need an outlet," he wrote.
I wondered if he was subtly hinting that he knows that I write. It's something my PhD advisor, Dr. C, might have told him. The only reason Dr. C knows is that L told him. I'm not ashamed of my writing, but it is very personal and often very dark. Anyway, Dr. E never brought it up, but I still wondered.