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Stirling Constant

The Stirling constant is

C=sqrt(2pi)=lim_(n->infty)(n!)/(sqrt(n)(n/e)^n)=2.50662827463...,

(OEIS A019727). It is the multiplicative factor in the leading form of Stirling's approximation,

n!∼Csqrt(n)(n/e)^n.

See also

Factorial, Gamma Function, Stirling's Approximation, Stirling's Series

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References

Sloane, N. J. A. Sequence A019727 in "The On-Line Encyclopedia of Integer Sequences."Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, p. 45, 1986.

Cite this as:

Weisstein, Eric W. "Stirling Constant." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StirlingConstant.html

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