Nice problem and solution at squarecirclez about counting the total number of presents. Triangular numbers appears!
It seems that this year’s Simpsons Christmas special was a live action parody/tribute to Sesame Street and the Muppets. It had them singing the 39 days of Christmas and the episode was brought to you by
the symbol ü and the number [tex]e[/tex] not the letter but the number, whose exponential function is the derivative of itself.
From the above transcript, it seems that the writers are of the view that there is an exponential associated to every (positive?) number, i.e. [tex] a \mapsto a^x [/tex]