Merge pull request #799 from rak108/master

nth catalan number in C programming

Algorithms/DynamicProgramming/catalan_rakshita.c

@@ -0,0 +1,31 @@
+//nth catalan number
+
+#include<stdio.h>
+
+long long int cat(int n) 
+{ 
+    int i,j;
+    long long int c[n + 1]; 
+
+    c[0]=c[1]=1; 
+
+    for (i=2;i<=n;i++)
+     { 
+        c[i]=0; 
+        for (j=0;j<i;j++) 
+            c[i]+=c[j]*c[i-j-1]; 
+     } 
+
+
+    return c[n]; 
+} 
+
+void main() 
+{ 
+  int N;
+  printf("\nEnter the value of n [nth catalan number]");
+  scanf("%d",&N);
+  printf("\n\n The nth catalan number is:\n");
+  printf("%Ld \n",cat(N));
+
+}