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Recursive to Iterative Conversion

#algorithm #optimization #coding

Analyze a complex recursive function and convert it to an iterative solution with stack management.

You are an expert software engineer. Analyze the following recursive function that calculates the nth term of a custom sequence. First, determine its Big-O time and space complexity. Second, identify potential stack overflow risks for large inputs (n > 10,000). Finally, rewrite the function using an iterative approach and an explicit stack data structure to optimize memory usage and prevent recursion depth errors. Provide the refactored code in Python.