Fibonacci series is a sequence of following numbers
0 1 1 2 3 5 8 13 21 ....

Code : Compute fibonacci numbers using recursion method

#include<stdio.h>
 
int Fibonacci(int);
 
int main()
{
   int n, i = 0, c;
 
   scanf("%d",&n);
 
   printf("Fibonacci series\n");
 
   for ( c = 1 ; c <= n ; c++ )
   {
      printf("%d\n", Fibonacci(i));
      i++; 
   }
 
   return 0;
}
 
int Fibonacci(int n)
{
   if ( n == 0 )
      return 0;
   else if ( n == 1 )
      return 1;
   else
      return ( Fibonacci(n-1) + Fibonacci(n-2) );
} 

Input : 5

Output:


Explanation

It adds previous two numbers value to compute the next number value. In this program fibonacci series is calculated using recursion, with seed as 0 and 1. Recursion means a function calling itself, in the below code fibonacci function calls itself with a lesser value several times. An termination condition is very important to recursion function, i.e n == 0 and n == 1 or the recursive call would be infinite leading to stack overflow error.