A131448 Denominators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant C, called gamma= 0.5772156649...

1, 2, 2, 24, 40, 144, 5040, 40320, 6048, 6048, 19958400, 53222400, 53222400, 87178291200, 118879488000, 5230697472000, 8083805184000, 3201186852864000, 40548366802944000, 2432902008176640000, 17030314057236480000

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..21.

Formula

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

Example

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

Crossrefs

Sequence in context: A226243 A226979 A261517 * A156447 A272641 A334123

Adjacent sequences: A131445 A131446 A131447 * A131449 A131450 A131451

Keyword

nonn,frac,easy

Author

Wolfdieter Lang Aug 07 2007

Status

approved