There aren't enough interesting sequences of 40 coinflips to ever see one.
Every sequence of 40 coin flips is interesting. Proof: Make a 1 to 1 relation on the sequence of 40 coin flips and a subset of the natural numbers, by making H=1 and T=0 and reading the sequence as a binary representation. Proceed by showing that every natural number is interesting.
I know that. People are so lame. Not me though. I am one of the genius ones.