catalan Algorithm
: català; Eastern Catalan: [ kətəˈla ]) is a Western Romance language derived from Vulgar Latin and named after the medieval Principality of Catalonia, in northeastern modern Spain. These territories are often named Països Catalans or" Catalan nation".
/*
code for computing nth catalan number
*/
#include<stdio.h>
long int factorial(int x) //long int for more than 10 factorial
{
int i;
long int fac; //fac stores x factorial
fac=x;
for(i=1;i<x;i++) //loop to calculate x factorial
{
fac=fac*(x-i);
}
return fac; //returning x factorial
}
int main()
{
long int f1,f2,f3; //long int for more than 10 factorial
int n;
float C; //C is catalan number for n;
scanf("%d",&n);
f1=factorial(2*n);
f2=factorial(n+1);
f3=factorial(n);
C=f1/(f2*f3); //formula for catalan number for n
printf("%0.2f",C);
return 0;
}
