tribonacci series c++

The Tribonacci series in C++ can be implemented using a simple recursive function. The Tribonacci series is a sequence of numbers where each number is the sum of the three preceding ones, similar to the Fibonacci series. Here's a step-by-step explanation of how to implement the Tribonacci series in C++:

1. Start by defining the recursive function to calculate the Tribonacci number. The function should take an integer n as input, representing the position of the number in the series.

2. Inside the function, check for the base cases where n is 0, 1, or 2, and return the corresponding values 0, 0, and 1 respectively, as these are the initial numbers in the Tribonacci series.

3. If n is greater than 2, recursively call the function to calculate the Tribonacci number for n-1, n-2, and n-3, and then return the sum of these three recursive calls.

4. In the main function, prompt the user to enter the value of n for which they want to calculate the Tribonacci number.

5. Read the input value of n from the user and call the recursive function with the input value.

6. Display the calculated Tribonacci number as the output.

Here's an example of the C++ code for implementing the Tribonacci series:

#include <iostream>
using namespace std;

int tribonacci(int n) {
    if (n == 0) return 0;
    else if (n == 1 || n == 2) return 0;
    else if (n == 3) return 1;
    else return tribonacci(n-1) + tribonacci(n-2) + tribonacci(n-3);
}

int main() {
    int n;
    cout << "Enter the value of n: ";
    cin >> n;
    cout << "The " << n << "th Tribonacci number is: " << tribonacci(n) << endl;
    return 0;
}

This code defines a recursive function tribonacci to calculate the Tribonacci number and a main function to prompt the user for input and display the result. When the user enters a value for n, the program calculates and displays the corresponding Tribonacci number.