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%I #11 Jan 28 2025 06:45:41
%S 0,1,1,13,23,83,2909,23273,3491,3491,11520301,30720803,30720803,
%T 50320675319,68619102709,3019240519199,4666098984217,1847775197749939,
%U 23405152504832563,1404309150289953793,9830164052029676557
%N Numerators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant gamma (A001620).
%C Rationals are in lowest terms.
%D J. Havil, Gamma, (in German), Springer, 2007, p. 118; Gamma: Exploring Euler's Constant, Princeton Univ. Press, 2003.
%H Wolfdieter Lang, <a href="/A131447/a131447.txt">Rationals and values</a>.
%F a(n) = numerator(r(n)), with r(n) = Sum_{k=1..n} b(k)/k!, and 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, ...]
%Y Cf. A001620, A096622, A131448 (denominators)
%K nonn,frac,easy,changed
%O 1,4
%A _Wolfdieter Lang_, Aug 07 2007