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A118323
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(Greedy) Egyptian fraction expansion of Catalan constant.
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30
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OFFSET
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1,1
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REFERENCES
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Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330. Solution published in Vol. 43, No. 4, September 2012, pp. 340-342.
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LINKS
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Table of n, a(n) for n=1..8.
Eric Weisstein's World of Mathematics, Egyptian Fraction
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EXAMPLE
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Catalan constant = 1/2 + 1/3 + 1/13 + 1/176 + 1/36543 + ...
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MATHEMATICA
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a = {}; k = N[Catalan, 1000]; Do[s = Ceiling[1/k]; AppendTo[a, s]; k = k - 1/s, {n, 1, 10}]; a [From Artur Jasinski, Sep 22 2008]
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CROSSREFS
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Cf. A006752, A104338, A014538, A153069, A153070, A054543. - Stuart Clary, Dec 17, 2008
Sequence in context: A137459 A072162 A113785 * A113494 A139520 A132535
Adjacent sequences: A118320 A118321 A118322 * A118324 A118325 A118326
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KEYWORD
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nonn
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AUTHOR
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Eric W. Weisstein, Apr 23, 2006
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STATUS
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approved
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