pythonPascal's Triangle:

Pascal's triangle is a geometric arrangement of sums that have interesting mathematical properties$-$most

famously, the binomial coefficients. The rows of Pascal's triangle are conventionally enumerated starting with

row $0,$ and the numbers in each row are usually staggered relative to the numbers in the adjacent rows. A

simple construction of the triangle proceeds in the following manner. On row $0,$ write only the number $1.$ Then,

to construct the elements of following rows, add the number directly above and to the left with the number

directly above and to the right to find the new value. If either the number to the right or left is not present,

substitute a zero in its place. For example, the first number in the first row is $0+1=1,$ whereas the numbers $1$

and $3$ in the third row are added to produce the number $4$ in the fourth row. Here are the first six rows of

Pascal's triangle:

$1$

$11$

$121$

$1331$

$14641$

$15101051$

Write a program that prompts for the height of Pascal's triangle and then generates the triangle in the same

style as previous example.

Hint $($not compulsory$)$: Use a list for each row, and use a list of row lists to hold the whole triangle. $($please python$)$