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MAIN SMS (2011)

Brief Notice - This website is going to be temporarily closed to reserve for improvement, and this work probably takes long.  We apologize for not sharing series formulas regularly.
 
 


 
November 06, 2011

A New Approximation Formula for Computing the N-th Harmonic Number  (Update)

A newly derived approximation formula, which provides more digit accuracy for computing the n-th Harmonic Number, is found as follows:

,

whereis Euler constant, and n is a positive integer.

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June 24, 2011

New Harmonic Number Approximation Formula 

,

whereis Euler constant and n a is positive integer.

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January 02, 2011
 
 A special product series gives
 
,
 
where Γ is Gamma function, and Γ(1/3) = 2.6789385347... .