
    In a personalized learning management system, determine the number of unique ways a student can progress through their curriculum sequence, where n represents the total number of learning modules and m represents how many times a student achieves higher scores in subsequent modules compared to previous ones. The system needs to calculate this to adaptively suggest optimal learning paths based on student performance patterns.
    

    
def eulerian_num(n, m):
    """
    In a personalized learning management system, determine the number of unique ways a student can progress through their curriculum sequence, where n represents the total number of learning modules and m represents how many times a student achieves higher scores in subsequent modules compared to previous ones. The system needs to calculate this to adaptively suggest optimal learning paths based on student performance patterns.
    

    """
def eulerian_num(n, m):
    """
    In a personalized learning management system, determine the number of unique ways a student can progress through their curriculum sequence, where n represents the total number of learning modules and m represents how many times a student achieves higher scores in subsequent modules compared to previous ones. The system needs to calculate this to adaptively suggest optimal learning paths based on student performance patterns.
    

    """
    if m >= n or n == 0:
        return 0
    if m == 0:
        return 1
    return (n - m) * eulerian_num(n - 1, m - 1) + (m + 1) * eulerian_num(n - 1, m)