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Create nth Catalan Number #84

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Create nth Catalan Number #84

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26 changes: 26 additions & 0 deletions C++/nth Catalan Number
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Original file line number Diff line number Diff line change
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#include <iostream>
using namespace std;

// A recursive function to find nth catalan number
unsigned long int catalan(unsigned int n)
{
// Base case
if (n <= 1)
return 1;

// catalan(n) is sum of
// catalan(i)*catalan(n-i-1)
unsigned long int res = 0;
for (int i = 0; i < n; i++)
res += catalan(i) * catalan(n - i - 1);

return res;
}

// Driver code
int main()
{
for (int i = 0; i < 10; i++)
cout << catalan(i) << " ";
return 0;
}