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

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

Offset

1,1

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.

Example

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

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 *)

Crossrefs

Cf. A001620.

Sequence in context: A158026 A103641 A144983 * A139519 A306206 A111016

Adjacent sequences: A110817 A110818 A110819 * A110821 A110822 A110823

Keyword

nonn,frac

Author

Franz Vrabec, Sep 16 2005

Extensions

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

Status

approved