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Combinatorial_Mathematics/lobb_number.cpp

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+// CPP Program to find Ln, m Lobb Number. 
+// Code Written by Ayush Sharma (belphegor-s)
+#include <bits/stdc++.h> 
+#define MAXN 109 
+using namespace std; 
+
+// Returns value of Binomial Coefficient C(n, k) 
+int binomialCoeff(int n, int k) 
+{ 
+	int C[n + 1][k + 1]; 
+
+	// Calculate value of Binomial Coefficient in 
+	// bottom up manner 
+	for (int i = 0; i <= n; i++) { 
+		for (int j = 0; j <= min(i, k); j++) { 
+			// Base Cases 
+			if (j == 0 || j == i) 
+				C[i][j] = 1; 
+
+			// Calculate value using previously stored values 
+			else
+				C[i][j] = C[i - 1][j - 1] + C[i - 1][j]; 
+		} 
+	} 
+
+	return C[n][k]; 
+} 
+
+// Return the Lm, n Lobb Number. 
+int lobb(int n, int m) 
+{ 
+	return ((2 * m + 1) * binomialCoeff(2 * n, m + n)) / (m + n + 1); 
+} 
+
+// main function
+int main() 
+{ 
+    int n {}, m {};
+	cout<<"Enter any two integers : ";
+    cin>>n>>m; 
+	cout << lobb(n, m) << endl; 
+	return 0; 
+}