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A030172 Let c be the point at which Gamma(x), x>0, is minimized; sequence gives continued fraction for Gamma(c). 1

%I #16 Dec 29 2019 08:40:49

%S 0,1,7,1,2,1,6,1,1,1,1,6,1,4,1,1,10,3,1,10,3,4,2,1,1,2,1,6,1,1,11,1,1,

%T 2,1,2,1,1,1,3,35,3,5,2025,1,1,2,6,3,4,16,1,1,2,2,3,1,2,1,1,3,1,8,4,

%U 13,1,8,10,3,14,1,2

%N Let c be the point at which Gamma(x), x>0, is minimized; sequence gives continued fraction for Gamma(c).

%H G. C. Greubel, <a href="/A030172/b030172.txt">Table of n, a(n) for n = 0..5000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GammaFunction.html">Gamma Function.</a>

%t ContinuedFraction[ Gamma[x] /. FindRoot[Gamma'[x] == 0, {x, 1}, WorkingPrecision -> 100], 72] (* _Jean-François Alcover_, Oct 29 2012 *)

%o (PARI) contfrac(gamma(solve(x=1, 2, psi(x)))) \\ _G. C. Greubel_, Dec 28 2019

%Y Cf. A030171.

%K nonn,cofr

%O 0,3

%A _Eric W. Weisstein_

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)