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%I #25 Jul 11 2022 08:37:01
%S 2,3,13,176,36543,1394774578,12493702893882521837,
%T 265316559833226727589598741150947701321
%N (Greedy) Egyptian fraction expansion of Catalan constant.
%H Amiram Eldar, <a href="/A118323/b118323.txt">Table of n, a(n) for n = 1..12</a>
%H Mohammad K. Azarian, <a href="http://www.jstor.org/stable/10.4169/college.math.j.42.4.329">Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958</a>, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330.
%H Mohammad K. Azarian, <a href="http://www.jstor.org/stable/10.4169/college.math.j.43.4.337">Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Solution</a> College Mathematics Journal, Vol. 43, No. 4, September 2012, pp. 340-342.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EgyptianFraction.html">Egyptian Fraction</a>.
%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>.
%e Catalan constant = 1/2 + 1/3 + 1/13 + 1/176 + 1/36543 + ...
%t a = {}; k = N[Catalan, 1000]; Do[s = Ceiling[1/k]; AppendTo[a, s]; k = k - 1/s, {n, 1, 10}]; a (* _Artur Jasinski_, Sep 22 2008 *)
%Y Cf. A006752, A104338, A014538, A153069, A153070, A054543. - _Stuart Clary_, Dec 17 2008
%K nonn,frac
%O 1,1
%A _Eric W. Weisstein_, Apr 23 2006
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