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# Author: OMKAR PATHAK

# PASCAL TRAINGLE: To build the triangle, start with "1" at the top, then continue placing numbers

# below it in a triangular pattern. Each number is the numbers directly above it added together.

# generates the nth row of Pascal's Triangle

def pascalRow(n):

if n == 0:

return [1]

else:

N = pascalRow(n-1)

return [1] + [N[i] + N[i+1] for i in range(n-1)] + [1]

# create a triangle of n rows

def pascalTriangle(n):

triangle = []

for i in range(n):

triangle.append(pascalRow(i))

return triangle

if __name__ == '__main__':

for i in pascalTriangle(7):

print(i)

# OUTPUT:

# [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]