Icosihexagonal Number
Last Updated :
22 Jun, 2021
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++
#include <bits/stdc++.h>
using namespace std;
int IcosihexagonalNum( int n)
{
return (24 * n * n - 22 * n) / 2;
}
int main()
{
int n = 3;
cout << "3rd Icosihexagonal Number is = "
<< IcosihexagonalNum(n);
return 0;
}
|
C
#include <stdio.h>
#include <stdlib.h>
int IcosihexagonalNum( int n)
{
return (24 * n * n - 22 * n) / 2;
}
int main()
{
int n = 3;
printf ( "3rd Icosihexagonal Number is = %d" ,
IcosihexagonalNum(n));
return 0;
}
|
Java
class GFG{
public static int IcosihexagonalNum( int n)
{
return ( 24 * n * n - 22 * n) / 2 ;
}
public static void main(String[] args)
{
int n = 3 ;
System.out.println( "3rd Icosihexagonal Number is = " +
IcosihexagonalNum(n));
}
}
|
Python3
def IcosihexagonalNum(n):
return ( 24 * n * n - 22 * n) / / 2
n = 3
print ( "3rd Icosihexagonal Number is = " ,
IcosihexagonalNum(n))
|
C#
using System;
class GFG{
public static int IcosihexagonalNum( int n)
{
return (24 * n * n - 22 * n) / 2;
}
public static void Main(String[] args)
{
int n = 3;
Console.WriteLine( "3rd Icosihexagonal Number is = " +
IcosihexagonalNum(n));
}
}
|
Javascript
<script>
function IcosihexagonalNum( n)
{
return (24 * n * n - 22 * n) / 2;
}
let n = 3;
document.write( "3rd Icosihexagonal Number is " + IcosihexagonalNum(n));
</script>
|
Output: 3rd Icosihexagonal Number is = 75
Time Complexity: O(1)
Auxiliary Space: O(1)
Reference: https://en.wikipedia.org/wiki/Icosihexagon
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