
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∈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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