This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A244499 #16 Mar 26 2022 10:17:18 %S A244499 4,7,0,9,3,0,0,1,6,9,3,2,7,1,0,3,3,3,0,7,4,4,1,4,3,2,1,7,7,5,4,7,0,0, %T A244499 4,6,3,5,1,6,6,1,6,7,8,3,2,9,0,6,4,7,1,9,6,0,9,7,8,7,0,3,8,7,1,4,8,8, %U A244499 1,8,3,6,1,2,4,9,5,8,1,1,6,3,1,3,8,8,5,4,8,8,1,9,2,3,6,0,7,2,0,3,0,1,7,5,7 %N A244499 Decimal expansion of e/gamma, the ratio of Euler number and the Euler-Mascheroni constant. %D A244499 Ovidiu Furdui, Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis, New York: Springer, 2013. See Problem 1.10, page 2. %H A244499 Stanislav Sykora, <a href="/A244499/b244499.txt">Table of n, a(n) for n = 1..2019</a> %H A244499 Ovidiu Furdui, <a href="https://www.jstor.org/stable/27643000">Problem 1764</a>, Mathematics Magazine, Vol. 80, No. 1 (2007), pp. 77-78; <a href="https://www.jstor.org/stable/27643084">Euler-Mascheroni meets e</a>, Solution to Problem 1764 by Edward Schmeichel, ibid., Vol. 81, No. 1 (2008), p. 67. %F A244499 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 %e A244499 4.709300169327103330744143217754700463516616783290647196... %t A244499 RealDigits[E/EulerGamma, 10, 100][[1]] (* _G. C. Greubel_, Aug 30 2018 *) %o A244499 (PARI) exp(1)/Euler %o A244499 (Magma) R:= RealField(100); Exp(1)/EulerGamma(R); // _G. C. Greubel_, Aug 30 2018 %Y A244499 Cf. A001008, A001113, A001620, A002805, A073004, A080130, A244274. %K A244499 nonn,cons,easy %O A244499 1,1 %A A244499 _Stanislav Sykora_, Jun 29 2014