
    In a remote patient monitoring system, determine the total number of cumulative health data points generated when analyzing a patient's vital signs over n consecutive time intervals, where each new interval combines with all previous intervals to form increasingly comprehensive health assessments. The analysis follows a pyramidal pattern where each new time interval creates connections with all existing interval combinations, forming a tetrahedral accumulation of health data points.
    

    
def tetrahedral_number(n):
    """
    In a remote patient monitoring system, determine the total number of cumulative health data points generated when analyzing a patient's vital signs over n consecutive time intervals, where each new interval combines with all previous intervals to form increasingly comprehensive health assessments. The analysis follows a pyramidal pattern where each new time interval creates connections with all existing interval combinations, forming a tetrahedral accumulation of health data points.
    

    """
def tetrahedral_number(n):
    """
    In a remote patient monitoring system, determine the total number of cumulative health data points generated when analyzing a patient's vital signs over n consecutive time intervals, where each new interval combines with all previous intervals to form increasingly comprehensive health assessments. The analysis follows a pyramidal pattern where each new time interval creates connections with all existing interval combinations, forming a tetrahedral accumulation of health data points.
    

    """
    return n * (n + 1) * (n + 2) / 6