A118323 (Greedy) Egyptian fraction expansion of Catalan constant.

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

Offset: 1

Author

Eric W. Weisstein, Apr 23 2006

Keywords

• nonn
• frac

Examples

			Catalan constant = 1/2 + 1/3 + 1/13 + 1/176 + 1/36543 + ...
		

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.

Crossrefs

Cf. A006752, A104338, A014538, A153069, A153070, A054543. - Stuart Clary, Dec 17 2008

Programs

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 *)