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Denominators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant C, called gamma= 0.5772156649...
1

%I #2 Mar 31 2012 13:20:14

%S 1,2,2,24,40,144,5040,40320,6048,6048,19958400,53222400,53222400,

%T 87178291200,118879488000,5230697472000,8083805184000,

%U 3201186852864000,40548366802944000,2432902008176640000,17030314057236480000

%N Denominators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant C, called gamma= 0.5772156649...

%C For the Havil reference and a W. Lang link see A131447.

%F a(n)=denominator(r(n)), with r(n):=sum(b(k)/k!,n=1..n) with b(k):= A096622(k) (factorial expansion of gamma).

%e Rationals r(n): [0, 1/2, 1/2, 13/24, 23/40, 83/144, 2909/5040, 23273/40320, 3491/6048, ...]

%K nonn,frac,easy

%O 1,2

%A _Wolfdieter Lang_ Aug 07 2007