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AIME #7 1986
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AIME #7 1986
by stupidityismygam » Sun Apr 29, 2007 8:31 pm
The increasing sequence [unparseable or potentially dangerous latex formula] consists of all those positive integers which are powers of [unparseable or potentially dangerous latex formula] or sums of distinct powers of [unparseable or potentially dangerous latex formula] Find the [unparseable or potentially dangerous latex formula] term of this sequence.
Last edited by stupidityismygam on Sun Apr 29, 2007 8:45 pm, edited 1 time in total.
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by kashhustler » Sun Apr 29, 2007 8:41 pm
there's a bijection between this sequence and all numbers base 3 that can only be written with 1's and 0's. so basically...all numbers written in base 2 can be corresponded to a number in the sequence. its pretty easy from there.
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