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Python Program for Triangular Matchstick Number

  • Last Updated : 03 Dec, 2018

Given a number X which represents the floor of a matchstick pyramid, write a program to print the total number of matchstick required to form a pyramid of matchsticks of x floors.

Examples:

Input : X = 1
Output : 3
Input : X = 2
Output : 9

This is mainly an extension of triangular numbers. For a number X, the matchstick required will be three times of X-th triangular numbers, i.e., (3*X*(X+1))/2




# Python program to find X-th triangular
# matchstick number
  
def numberOfSticks(x):
    return (3 * x * (x + 1)) / 2
      
# main()
print(int(numberOfSticks(7)))
Output:
84

Please refer complete article on Triangular Matchstick Number for more details!

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