居中的三叉戟数字
原文:https://www.geeksforgeeks.org/centered-tridecagonal-number/
给定一个数字 n,任务是找到第n个居中的三叉戟数字。 一个居中的三叉戟编号表示在连续的三叉戟(13 边多边形)图层中位于中心的一个点和围绕中心点 的其他点。
示例:
输入:2 输出:14
输入:9 输出:469
第 n 个中心三叉数的公式:
C++
// C++ Program to find nth
// centered tridecagonal number
#include <bits/stdc++.h>
using namespace std;
// Function to find nth centered
// tridecagonal number
int centeredTridecagonalNum(long int n)
{
// Formula to calculate nth
// centered tridecagonal number
return (13 * n * (n - 1) + 2) / 2;
}
// Drivers code
int main()
{
long int n = 3;
cout << centeredTridecagonalNum(n);
cout << endl;
n = 10;
cout << centeredTridecagonalNum(n);
return 0;
}
Java 语言(一种计算机语言,尤用于创建网站)
// Java Program to find nth
// centered tridecagonal number
import java.io.*;
class GFG
{
// Function to find nth centered
// tridecagonal number
static long centeredTridecagonalNum(long n)
{
// Formula to calculate nth
// centered tridecagonal number
return (13 * n * (n - 1) + 2) / 2;
}
// Driver Code
public static void main (String[] args)
{
long n = 3;
System.out.println(centeredTridecagonalNum(n));
n = 10;
System.out.println(centeredTridecagonalNum(n));
}
}
// This code is contributed by anuj_67.
Python 3
# Program to find nth centered
# tridecagonal number
# Function to find centered
# tridecagonal number
def centeredTridecagonalNum(n) :
# Formula to calculate nth
# centered tridecagonal number
return (13 * n *
(n - 1) + 2) // 2
# Driver Code
if __name__ == '__main__' :
n = 3
print(centeredTridecagonalNum(n))
n = 10
print(centeredTridecagonalNum(n))
# This code is contributed
# by akt_mit
C
// C# Program to find nth
// centered tridecagonal number
using System;
class GFG
{
// Function to find nth centered
// tridecagonal number
static long centeredTridecagonalNum(long n)
{
// Formula to calculate nth
// centered tridecagonal number
return (13 * n * (n - 1) + 2) / 2;
}
// Driver Code
public static void Main ()
{
long n = 3;
Console.WriteLine(centeredTridecagonalNum(n));
n = 10;
Console.WriteLine(centeredTridecagonalNum(n));
}
}
// This code is contributed by anuj_67.
服务器端编程语言(Professional Hypertext Preprocessor 的缩写)
<?php
// PHP Program to find nth
// centered tridecagonal number
// Function to find nth centered
// tridecagonal number
function centeredTridecagonalNum( $n)
{
// Formula to calculate nth
// centered tridecagonal number
return (13 * $n *
($n - 1) + 2) / 2;
}
// Driver Code
$n = 3;
echo centeredTridecagonalNum($n);
echo"\n";
$n = 10;
echo centeredTridecagonalNum($n);
// This code is contributed by anuj_67.
?>
java 描述语言
<script>
// Javascript program to find nth
// centered tridecagonal number
// Function to find nth centered
// tridecagonal number
function centeredTridecagonalNum(n)
{
// Formula to calculate nth
// centered tridecagonal number
return (13 * n * (n - 1) + 2) / 2;
}
// Driver code
var n = 3;
document.write(centeredTridecagonalNum(n) + "<br>");
n = 10;
document.write(centeredTridecagonalNum(n));
// This code is contributed by Ankita saini
</script>
Output :
40
586
时间复杂度:O(1) T3】辅助空间: O(1)
参考:http://oeis.org/wiki/Figurate_numbersT2】
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