Gah. Mr. Holbrook messed up and gave me the regional Mandelbrot and I didn't even notice. Well, 9+2ε.
I don't really have much to say, except this really neat problem from the 1986 AIME (#7):
Consider the sequence 1, 3, 4, 9, ... of all numbers which are powers of 3 or sums of distinct powers of 3 (see subject for first few terms). Find the 100th element of this sequence.
Apparently you can do it a straightforward and painful way, but there's also a really neat solution which makes it really easy which I saw immediately, but so far nobody else I've told it to has. Not that I've told it to too many people.
-Sniffnoy
--
"Entropy ain't what it used to be."
-Aquarion, afda
I don't really have much to say, except this really neat problem from the 1986 AIME (#7):
Consider the sequence 1, 3, 4, 9, ... of all numbers which are powers of 3 or sums of distinct powers of 3 (see subject for first few terms). Find the 100th element of this sequence.
Apparently you can do it a straightforward and painful way, but there's also a really neat solution which makes it really easy which I saw immediately, but so far nobody else I've told it to has. Not that I've told it to too many people.
-Sniffnoy
--
"Entropy ain't what it used to be."
-Aquarion, afda