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# Stirling's approximation

Revision as of 15:37, 28 March 2007 by 163.117.132.133 (talk)

James Stirling (1692-1770, Scotland)

Because of [Euler-MacLaurin formula]

where *B*_{1} = −1/2, *B*_{2} = 1/6, *B*_{3} = 0, *B*_{4} = −1/30, *B*_{5} = 0, *B*_{6} = 1/42, *B*_{7} = 0, *B*_{8} = −1/30, ... are the Bernoulli numbers, and *R* is an error term which is normally small for suitable values of *p*.

Thus, for large *N*