A118323 - OEIS

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A118323

(Greedy) Egyptian fraction expansion of Catalan constant.

2, 3, 13, 176, 36543, 1394774578, 12493702893882521837, 265316559833226727589598741150947701321 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	LINKS	`Amiram Eldar, Table of n, a(n) for n = 1..12` `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.` `Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Solution College Mathematics Journal, Vol. 43, No. 4, September 2012, pp. 340-342.` `Eric Weisstein's World of Mathematics, Egyptian Fraction.` `Index entries for sequences related to Egyptian fractions.`
	EXAMPLE	`Catalan constant = 1/2 + 1/3 + 1/13 + 1/176 + 1/36543 + ...`
	MATHEMATICA	`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 *)`
	CROSSREFS	`Cf. A006752, A104338, A014538, A153069, A153070, A054543. - Stuart Clary, Dec 17 2008` `Sequence in context: A267422 A072162 A113785 * A113494 A139520 A132535` `Adjacent sequences: A118320 A118321 A118322 * A118324 A118325 A118326`
	KEYWORD	`nonn,frac`
	AUTHOR	`Eric W. Weisstein, Apr 23 2006`
	STATUS	`approved`

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Last modified August 31 03:15 EDT 2024. Contains 375550 sequences. (Running on oeis4.)