OFFSET
1,1
REFERENCES
Ovidiu Furdui, Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis, New York: Springer, 2013. See Problem 1.10, page 2.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 1..2019
Ovidiu Furdui, Problem 1764, Mathematics Magazine, Vol. 80, No. 1 (2007), pp. 77-78; Euler-Mascheroni meets e, Solution to Problem 1764 by Edward Schmeichel, ibid., Vol. 81, No. 1 (2008), p. 67.
FORMULA
Equals lim_{n->oo} (g(n)^gamma/gamma^g(n))^(2*n), where g(n) = H(n) - log(n) and H(n) = A001008(n)/A002805(n) is the n-th harmonic number (Furdui, 2007 and 2013). - Amiram Eldar, Mar 26 2022
EXAMPLE
4.709300169327103330744143217754700463516616783290647196...
MATHEMATICA
RealDigits[E/EulerGamma, 10, 100][[1]] (* G. C. Greubel, Aug 30 2018 *)
PROG
(PARI) exp(1)/Euler
(Magma) R:= RealField(100); Exp(1)/EulerGamma(R); // G. C. Greubel, Aug 30 2018
CROSSREFS
KEYWORD
AUTHOR
Stanislav Sykora, Jun 29 2014
STATUS
approved