Given a number N, the task is to find Nth Icosihexagon number.
An Icosihexagon number is class of figurate number. It has 26 – sided polygon called Icosihexagon. The N-th Icosihexagonal number count’s the 26 number of dots and all other dots are surrounding with a common sharing corner and make a pattern. The first few Icosihexagonol numbers are 1, 26, 75, 148 …
Examples:
Input: N = 2
Output: 26
Explanation:
The second Icosihexagonol number is 26.
Input: N = 3
Output: 75
Approach: The N-th Icosihexagonal number is given by the formula:
- Nth term of s sided polygon =
- Therefore Nth term of 26 sided polygon is
Below is the implementation of the above approach:
// C++ program for above approach #include <bits/stdc++.h> using namespace std;
// Finding the nth Icosihexagonal Number int IcosihexagonalNum( int n)
{ return (24 * n * n - 22 * n) / 2;
} // Driver Code int main()
{ int n = 3;
cout << "3rd Icosihexagonal Number is = "
<< IcosihexagonalNum(n);
return 0;
} // This code is contributed by Code_Mech |
// C program for above approach #include <stdio.h> #include <stdlib.h> // Finding the nth Icosihexagonal Number int IcosihexagonalNum( int n)
{ return (24 * n * n - 22 * n) / 2;
} // Driver program to test above function int main()
{ int n = 3;
printf ( "3rd Icosihexagonal Number is = %d" ,
IcosihexagonalNum(n));
return 0;
} |
// Java program for above approach class GFG{
// Finding the nth icosihexagonal number public static int IcosihexagonalNum( int n)
{ return ( 24 * n * n - 22 * n) / 2 ;
} // Driver code public static void main(String[] args)
{ int n = 3 ;
System.out.println( "3rd Icosihexagonal Number is = " +
IcosihexagonalNum(n));
} } // This code is contributed by divyeshrabadiya07 |
# Python3 program for above approach # Finding the nth Icosihexagonal Number def IcosihexagonalNum(n):
return ( 24 * n * n - 22 * n) / / 2
# Driver Code n = 3
print ( "3rd Icosihexagonal Number is = " ,
IcosihexagonalNum(n))
# This code is contributed by divyamohan123 |
// C# program for above approach using System;
class GFG{
// Finding the nth icosihexagonal number public static int IcosihexagonalNum( int n)
{ return (24 * n * n - 22 * n) / 2;
} // Driver code public static void Main(String[] args)
{ int n = 3;
Console.WriteLine( "3rd Icosihexagonal Number is = " +
IcosihexagonalNum(n));
} } // This code is contributed by 29AjayKumar |
<script> // javascript program for above approach // Finding the nth Icosihexagonal Number function IcosihexagonalNum( n)
{ return (24 * n * n - 22 * n) / 2;
} // Driver code let n = 3; document.write( "3rd Icosihexagonal Number is " + IcosihexagonalNum(n));
// This code contributed by gauravrajput1 </script> |
Output:
3rd Icosihexagonal Number is = 75
Time Complexity: O(1)
Auxiliary Space: O(1)
Reference: https://en.wikipedia.org/wiki/Icosihexagon