
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Observe the following expressions:  
\\(C_{1}^{0}=4^{0}\\);  
\\(C_{3}^{0}+C_{3}^{1}=4^{1}\\);  
\\(C_{5}^{0}+C_{5}^{1}+C_{5}^{2}=4^{2}\\);  
\\(C_{7}^{0}+C_{7}^{1}+C_{7}^{2}+C_{7}^{3}=4^{3}\\);  
\\(…\\)  
Following this pattern, when \\(n \in N^{*}\\),  
\\(C_{2n-1}^{0}+C_{2n-1}^{1}+C_{2n-1}^{2}+…+C_{2n-1}^{n-1}=\\) ______.

Present the answer in LaTex format: \boxed{Your answer}
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