def binomial_coefficients(n):

   'Coefficients of (x + 1) ** n'

   return [(c := c * (n - k + 1) // k if k else 1) for k in range(n+1)]



>>> for n in range(10):

       print(binomial_coefficients(n))



[1]

[1, 1]

[1, 2, 1]

[1, 3, 3, 1]

[1, 4, 6, 4, 1]

[1, 5, 10, 10, 5, 1]

[1, 6, 15, 20, 15, 6, 1]

[1, 7, 21, 35, 35, 21, 7, 1]

[1, 8, 28, 56, 70, 56, 28, 8, 1]

[1, 9, 36, 84, 126, 126, 84, 36, 9, 1]