On a new Stirling's series.

ARS COMBINATORIA(2012)

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摘要
In this paper, we deduced the following new Stirling series n! similar to root 2n pi (n/e)(n) exp (1/12n+1) [1 + 1/12n (1 + 2/5/n + 29/150/n(2)) - 62/2625/n(3) - 9173/157500/n(4) + .... )(-1)]), which is faster than the classical Stirling's series.
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关键词
Stirling' series,Stirling' formula,speed of convergence,approximation formulas
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