A131447 Numerators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant gamma (A001620).
0, 1, 1, 13, 23, 83, 2909, 23273, 3491, 3491, 11520301, 30720803, 30720803, 50320675319, 68619102709, 3019240519199, 4666098984217, 1847775197749939, 23405152504832563, 1404309150289953793, 9830164052029676557
Offset: 1
Examples
Rationals r(n): [0, 1/2, 1/2, 13/24, 23/40, 83/144, 2909/5040, 23273/40320, 3491/6048, ...]
References
- J. Havil, Gamma, (in German), Springer, 2007, p. 118; Gamma: Exploring Euler's Constant, Princeton Univ. Press, 2003.
Links
- Wolfdieter Lang, Rationals and values.
Formula
a(n) = numerator(r(n)), with r(n) = Sum_{k=1..n} b(k)/k!, and b(k) = A096622(k) (factorial expansion of gamma).
Comments