Definition: For large values of n, n! ≈ (n/e)n √(2nπ).
See also factorial, gamma function.
Note: This approximation is taken directly from Stirling's formula.
Peter Luschny lists and evaluates many approximation formulas for n!. See Eric W. Weisstein, Stirling's Approximation for a derivation and other approximations.
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 5 August 2021.
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Cite this as:
Paul E. Black, "Stirling's approximation", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 5 August 2021. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/stirlingsApproximation.html