/// <summary>
/// Calculate the number using the Binomial Coefficients algorithm
/// </summary>
public static ulong GetNumberByBinomialCoefficients(uint rank)
{
// Calculate value of 2nCn
var catalanNumber = BinomialCoefficients.Calculate(2 * rank, rank);
// return 2nCn/(n+1)
return(Convert.ToUInt64(catalanNumber / (rank + 1)));
}
/// Calculate the number using the Binomial Coefficients algorithm
public static BigInteger GetNumberByBinomialCoefficients(uint rank)
{
// Calculate by binomial coefficient.
return(BinomialCoefficients.Calculate(rank));
}