A110820 Denominator of Egyptian fraction for Euler's constant (or Euler-Mascheroni constant) gamma.

2, 13, 3418, 52016149, 153922786652714666, 65688702911858084722486113974627712, 5909264177593573284418890303826221282839645884512542540067398229418573

Offset: 1

Author

Franz Vrabec, Sep 16 2005

Keywords

• nonn
• frac

Examples

			a(3) = ceiling(1/(0.5772156649... - 1/2 - 1/13)) = 3418.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10
• 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.
• Eric Weisstein's World of Mathematics, Egyptian Fraction.
• Index entries for sequences related to Egyptian fractions.

Crossrefs

Cf. A001620.

Programs

Mathematica

a = {}; k = N[EulerGamma, 1000]; Do[s = Ceiling[1/k]; AppendTo[a, s]; k = k - 1/s, {n, 1, 10}]; a (* Artur Jasinski, Sep 22 2008 *)

Extensions

a(6)-a(7) from Robert G. Wilson v, Aug 03 2010