C ++中的Tribonacci数
在这里,我们将看到如何使用C++生成Tribonacci数。Tribonacci数与Fibonacci数相似,但是在这里我们通过添加三个前项生成一个项。假设我们要生成T(n),则公式将如下所示-
T(n) = T(n - 1) + T(n - 2) + T(n - 3)
开始的前几个数字是{0,1,1}
算法
tribonacci(n):
Begin
first := 0, second := 1, third := 1
print first, second, third
for i in range n – 3, do
next := first + second + third
print next
first := second
second := third
third := next
done
End示例
#include<iostream>
using namespace std;
long tribonacci_gen(int n){
//函数生成n个正弦编号
int first = 0, second = 1, third = 1;
cout << first << " " << second << " " << third << " ";
for(int i = 0; i < n - 3; i++){
int next = first + second + third;
cout << next << " ";
first = second;
second = third;
third = next;
}
}
main(){
tribonacci_gen(15);
}输出结果
0 1 1 2 4 7 13 24 44 81 149 274 504 927 1705
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