A118323 (Greedy) Egyptian fraction expansion of Catalan constant.

2, 3, 13, 176, 36543, 1394774578, 12493702893882521837, 265316559833226727589598741150947701321

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