Python pascal triangle easy way with one main formula

sure! the pascal's triangle is a triangular array of binomial coefficients. each number in the triangle is the sum of the two numbers directly above it in the previous row. the first few rows of pascal's triangle look like this:

to generate pascal's triangle in python, we can use a simple formula that calculates each element based on its row and column position:

in this code snippet:
- the `pascal_triangle` function takes an input `n` which represents the number of rows in the pascal's triangle.
- it iterates through each row and each element in the row to calculate the value based on the formula.
- if the element is at the beginning or end of the row, it sets the value to 1.
- otherwise, it calculates the value as the sum of the two elements directly above it in the previous row.
- finally, it appends each row to the `triangle` list and returns the complete pascal's triangle.

here's an example of how you can use the `pascal_triangle` function to generate a pascal's triangle with 5 rows:

when you run this code snippet, it will output the pascal's triangle with 5 rows centered in the console. you can adjust the input parameter to generate pascal's triangle with a different number of rows.

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