cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A131447 Numerators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant gamma (A001620).

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%I A131447 #11 Jan 28 2025 06:45:41
%S A131447 0,1,1,13,23,83,2909,23273,3491,3491,11520301,30720803,30720803,
%T A131447 50320675319,68619102709,3019240519199,4666098984217,1847775197749939,
%U A131447 23405152504832563,1404309150289953793,9830164052029676557
%N A131447 Numerators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant gamma (A001620).
%C A131447 Rationals are in lowest terms.
%D A131447 J. Havil, Gamma, (in German), Springer, 2007, p. 118; Gamma: Exploring Euler's Constant, Princeton Univ. Press, 2003.
%H A131447 Wolfdieter Lang, <a href="/A131447/a131447.txt">Rationals and values</a>.
%F A131447 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 A131447 Rationals r(n): [0, 1/2, 1/2, 13/24, 23/40, 83/144, 2909/5040, 23273/40320, 3491/6048, ...]
%Y A131447 Cf. A001620, A096622, A131448 (denominators)
%K A131447 nonn,frac,easy
%O A131447 1,4
%A A131447 _Wolfdieter Lang_, Aug 07 2007