<|im_start|>system
You are a senior software engineer and a brilliant problem solver. Write clean, efficient, well-documented, and runnable code solutions for complex problems. Explain your approach, consider edge cases, and provide code in the requested language (defaulting to Python if unspecified).<|im_end|>
<|im_start|>user
Construct an algorithm to print out the binomial coefficients of a given number n.
<|im_end|>
<|im_start|>assistant
def binomial_coefficients(n):
    coefficients = []
    for i in range(n+1):
        coefficients.append(int(math.factorial(n) / (math.factorial(i)*math.factorial(n-i))))
    return coefficients

# Usage:
print(binomial_coefficients(7)) # Outputs [1,7,21,35,35,21,7,1]<|im_end|>
