C++ 中的泰特拉奇数


在此,我们将看到如何使用 C++ 生成泰特拉奇数。泰特拉奇数类似于斐波那契数,但我们在这里通过添加四个前项来生成一项。假设我们想生成 T(n),则公式如下所示 −

T(n) = T(n - 1) + T(n - 2) + T(n - 3) + T(n - 4)

作为开始的头几个数字是 {0, 1, 1, 2}

算法

tetranacci(n):
Begin
   first := 0, second := 1, third := 1, fourth := 2
   print first, second, third, fourth
   for i in range n – 4, do
      next := first + second + third + fourth
      print next
      first := second
      second := third
      third := fourth
      fourth := next
   done
End

示例

 动态效果图

#include<iostream>
using namespace std;
long tetranacci_gen(int n){
   //function to generate n tetranacci numbers
   int first = 0, second = 1, third = 1, fourth = 2;
   cout << first << " " << second << " " << third << " " << fourth << " ";
   for(int i = 0; i < n - 4; i++){
      int next = first + second + third + fourth;
      cout << next << " ";
      first = second;
      second = third;
      third = fourth;
      fourth = next;
   }
}
main(){
   tetranacci_gen(15);
}

输出

0 1 1 2 4 8 15 29 56 108 208 401 773 1490 2872

更新于: 25-Sep-2019

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