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A118323 (Greedy) Egyptian fraction expansion of Catalan constant. 30
2, 3, 13, 176, 36543, 1394774578, 12493702893882521837, 265316559833226727589598741150947701321 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..8.

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

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

AUTHOR

Eric W. Weisstein, Apr 23 2006

STATUS

approved

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Last modified May 15 02:21 EDT 2021. Contains 343909 sequences. (Running on oeis4.)