
    In a medical risk assessment system, calculate the total number of data points needed to build a complete multi-dimensional patient risk profile at level n, where each level forms a triangular layer of accumulated vital sign measurements, and these layers stack to form a pyramid of comprehensive health data. The system requires that at each new level, the number of data points increases triangularly both across time periods and vital sign categories, forming a tetrahedral structure of cumulative health measurements.
    

    
def tetrahedral_number(n):
    """
    In a medical risk assessment system, calculate the total number of data points needed to build a complete multi-dimensional patient risk profile at level n, where each level forms a triangular layer of accumulated vital sign measurements, and these layers stack to form a pyramid of comprehensive health data. The system requires that at each new level, the number of data points increases triangularly both across time periods and vital sign categories, forming a tetrahedral structure of cumulative health measurements.
    

    """
def tetrahedral_number(n):
    """
    In a medical risk assessment system, calculate the total number of data points needed to build a complete multi-dimensional patient risk profile at level n, where each level forms a triangular layer of accumulated vital sign measurements, and these layers stack to form a pyramid of comprehensive health data. The system requires that at each new level, the number of data points increases triangularly both across time periods and vital sign categories, forming a tetrahedral structure of cumulative health measurements.
    

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