
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 equations:

\\(C\\rlap{{\\!\\,}^{0}}{{\\!\\,}\_{1}}=4^{0}\\)；

\\(C\\rlap{{\\!\\,}^{0}}{{\\!\\,}\_{3}}+C\\rlap{{\\!\\,}^{1}}{{\\!\\,}\_{3}}=4^{1}\\)；

\\(C\\rlap{{\\!\\,}^{0}}{{\\!\\,}\_{5}}+C\\rlap{{\\!\\,}^{1}}{{\\!\\,}\_{5}}+C\\rlap{{\\!\\,}^{2}}{{\\!\\,}\_{5}}=4^{2}\\)；

\\(C\\rlap{{\\!\\,}^{0}}{{\\!\\,}\_{7}}+C\\rlap{{\\!\\,}^{1}}{{\\!\\,}\_{7}}+C\\rlap{{\\!\\,}^{2}}{{\\!\\,}\_{7}}+C\\rlap{{\\!\\,}^{3}}{{\\!\\,}\_{7}}=4^{3}\\)；

\\(........\\)

According to this pattern, when _\\(n\\)_\\(∈N^{\*}\\),

\\(C\\rlap{{\\!\\,}^{0}}{{\\!\\,}\_{2n-1}}+C\\rlap{{\\!\\,}^{1}}{{\\!\\,}\_{2n-1}}+C\\rlap{{\\!\\,}^{2}}{{\\!\\,}\_{2n-1}}+…+C\\rlap{{\\!\\,}^{n-1}}{{\\!\\,}\_{2n-1}}=\\)\_\_\_\_\_\_\_\_．

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