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Partitions using only powers of two on $1000.$
How many ways are there to write $1000$ as a sum of powers of $2,$ ($2^0$ counts), where each power of two can be used a maximum of $3$ times. Furthermore, $1+2+4+4$ is the same as $4+2+4+1$. These ...
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Double Product in the proof of partitions of $n$
So I am supposed to show that the number of partitions of $n$ for which no part appears more than twice is equal to the number of partitions of n for which no part is divisible by 3. and there is one ...
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