Here's how my brain works: (well, not in its entirety)
My friends Vanessa and Tim got married on 9/27/03. This came about at TGIF's when I was eating dinner with them and discussing possible wedding dates. I really pushed for this option (out of the other possible September/October Saturdays) for a reason that seemed fairly obvious to me but involved me scrawling some notes on a napkin. If they got married on 9/27/03 they could choose to write their anniversary date as 3 squared, 3 cubed, 3-to-the-first-power. I thought that would be pretty cool.