Lucas Series

Q:- Write a program in C to generate Lucas Series.

Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a Fibonacci integer sequence. The first two Lucas numbers are L₀ = 2 and L₁ = 1 as opposed to the first two Fibonacci numbers F₀ = 0 and F₁ = 1. Though closely related in definition, Lucas and Fibonacci numbers exhibit distinct properties.

The Lucas numbers may thus be defined as follows:

The sequence of Lucas numbers is:

#include<conio.h>
#include<stdio.h>
void main( )
{
int lmt,x=0,y=1,z=0,a=0;
clrscr( );
printf("\nEnter the limit");
scanf("%d",&lmt);
while(a<=lmt)
   {
    printf("\n%d",a);
    x=y;
    z=a;
    a=x+y+z;
    }
getch( )
}