Mar. 13th, 2004

sniffnoy: (Golden Apple)
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

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