
    Design a fraud detection algorithm that analyzes sequences of credit card transactions to identify potentially suspicious patterns by calculating how many different ways n consecutive transactions can have exactly m increases in transaction amounts between adjacent purchases. This pattern recognition helps identify unusual spending behaviors that may indicate fraudulent activity.
    

    
def eulerian_num(n, m):
    """
    Design a fraud detection algorithm that analyzes sequences of credit card transactions to identify potentially suspicious patterns by calculating how many different ways n consecutive transactions can have exactly m increases in transaction amounts between adjacent purchases. This pattern recognition helps identify unusual spending behaviors that may indicate fraudulent activity.
    

    """
def eulerian_num(n, m):
    """
    Design a fraud detection algorithm that analyzes sequences of credit card transactions to identify potentially suspicious patterns by calculating how many different ways n consecutive transactions can have exactly m increases in transaction amounts between adjacent purchases. This pattern recognition helps identify unusual spending behaviors that may indicate fraudulent activity.
    

    """
    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)