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N-th Tribonacci Number in C++
Suppose we have a value n, we have to generate n-th Tribonacci number. The Tribonacci numbers are similar to the Fibonacci numbers, but here we are generating a term by adding three previous terms. Suppose we want to generate T(n), then the formula will be like below −
T(n) = T(n - 1) + T(n - 2) + T(n - 3)
The first few numbers to start, are {0, 1, 1}
We can solve them by following this algorithm −
Algorithm
• first := 0, second := 1, third := 1 • for i in range n – 3, do o next := first + second + third o first := second, second := third, third := next • return third
Example (C++)
#include<iostream>
using namespace std;
long tribonacci_gen(int n){
//function to generate n tetranacci numbers
int first = 0, second = 1, third = 1;
for(int i = 0; i < n - 3; i++){
int next = first + second + third;
first = second;
second = third;
third = next;
}
return third;
}
main(){
cout << "15th Tribonacci Term: " << tribonacci_gen(15);
}Input
15
Output
15th Tribonacci Term: 1705
Updated on: 28-Apr-2020
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