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avatar+552 

If $n$ is a positive integer, a $3$-partition of $n$ is a list of powers of $3$, arranged in order from greatest to least, whose sum is $n.$ For example, there are three $3$-partitions of $6,$ namely $3-3, 3-1-1-1$ and $1-1-1-1-1-1.$ How many different $3$-partitions of $8$ are there?

 Jun 3, 2024
 #1
avatar+129487 
+1

3 - 3 - 1 - 1

 

3 - 1 - 1 - 1 - 1 - 1

 

1 -1- 1 -1- 1 -1 - 1 -1

 

cool cool cool

 Jun 4, 2024

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