Looping(Patterns)-Pascal's Triangle Generator.md

🔺 Looping(Patterns)-Pascal's Triangle Generator in Python

This project demonstrates a simple Python program to generate Pascal’s Triangle, where the number of rows is provided by the user.

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🎯 Aim

To write a Python program that generates Pascal's Triangle using numbers. The number of rows is accepted from the user.

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🧠 Algorithm

1. Start the program.
2. Input the number of rows from the user.
3. Loop from 0 to the number of rows.
4. For each row:
   • Print appropriate spaces to shape the triangle.
   • Compute values using the formula:
     [ C(n, k) = \frac{n!}{k!(n-k)!} ]
5. Print all rows of Pascal’s Triangle.
6. End the program.

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🧪 Program

rows = int(input())
coef = 1

for i in range(1, rows+1):
    for space in range(1, rows-i+1):
        print(" ",end="")
    for j in range(0, i):
        if j==0 or i==0:
            coef = 1
        else:
            coef = coef * (i - j)//j
        print(coef, end = " ")
    print()

Sample Output

Result

Thus,the Python program that generates Pascal's Triangle using numbers. The number of rows is accepted from the user is created successfully.