Pascal Triangle

# Number Triangles

# Pascals Triangle

"""

"""

# Factorial Function 

def fact(Num):

if(Num==0):

return 1

else:

return Num*fact(Num-1)

# Read Number of lines 

N = int(input("Enter number of Lines : "))

print("Pascal Triangle : ")

for n in range(0,N,1):

Nr = fact(n)

        # For Alignment

print("   "*(N-n),end="")

for k in range(0,n+1,1):

term = (int)(Nr/(fact(k)*fact(n-k)))

print(str(term).center(6), end="")

print()

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# Output

> python PascalTriangle.py

Enter number of Lines : 10

Pascal Triangle :

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Formula for calculating elements in Pascal Triangle

 

 

Pascal triangle

# Pascal triangle - 5 lines

L = [[1],[1,1]]
lno = 2

while(lno < 5):
tmp = [1]
i = 1
while(i<lno):
ele = L[lno-1][i-1]+L[lno-1][i]
tmp.append(ele)
i+=1
tmp.append(1)
lno+=1
L.append(tmp)


for ele in L:
print(" "*lno, end=" ")
for e in ele:
print(e, end= " ")
lno-=1
print()