A131447 Numerators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant C, called gamma= 0.5772156649...

0, 1, 1, 13, 23, 83, 2909, 23273, 3491, 3491, 11520301, 30720803, 30720803, 50320675319, 68619102709, 3019240519199, 4666098984217, 1847775197749939, 23405152504832563, 1404309150289953793, 9830164052029676557

Offset

1,4

Comments

Denominators are given in A131448. Rationals in lowest terms.

References

J. Havil, Gamma, (in German), Springer, 2007, p. 118; Gamma: Exploring Euler's Constant, Princeton Univ. Press, 2003.

Links

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

W. Lang, Rationals and values.

Formula

a(n)=numerator(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: A046862 A155093 A147443 * A110196 A039448 A299361

Adjacent sequences: A131444 A131445 A131446 * A131448 A131449 A131450

Keyword

nonn,frac,easy

Author

Wolfdieter Lang, Aug 07 2007

Status

approved