
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
Given a sequence $\{a_n\}$ where each term is a positive integer, for $n=1, 2, 3, \ldots$, we have $a_{n+1}=$  
(I) When $a_1=19$, find $a_{2014}=$     ;  
(II) If $a_n$ is an odd number greater than 1 and $a_n$ is constant, then find $a_n=$     .

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