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 A097669 #19 Feb 27 2021 13:20:38 %S A097669 1,9,0,7,9,5,9,5,3,2,5,4,3,5,4,2,5,2,2,5,5,3,3,3,8,1,3,9,7,2,9,5,2,0, %T A097669 3,6,9,0,8,5,1,6,0,6,8,3,5,9,0,8,2,9,6,8,2,2,8,2,2,3,5,9,6,0,8,1,0,7, %U A097669 0,6,3,7,8,6,8,8,6,5,5,0,4,0,3,9,9,7,2,3,6,3,5,8,3,0,9,0,1,3,8,0,7,5,3,9,0 %N A097669 Decimal expansion of the constant 5*exp(psi(3/5)+EulerGamma), where EulerGamma is the Euler-Mascheroni constant (A001620) and psi(x) is the digamma function. %C A097669 This constant appears in _Benoit Cloitre_'s generalized Euler-Gauss formula for the Gamma function (see Cloitre link) and is involved in the exact determination of asymptotic limits of certain order-5 linear recursions with varying coefficients (see A097680 for example). %D A097669 A. M. Odlyzko, Linear recurrences with varying coefficients, in Handbook of Combinatorics, Vol. 2, R. L. Graham, M. Grotschel and L. Lovasz, eds., Elsevier, Amsterdam, 1995, pp. 1135-1138. %H A097669 G. C. Greubel, <a href="/A097669/b097669.txt">Table of n, a(n) for n = 1..2500</a> %H A097669 Benoit Cloitre, <a href="/A097679/a097679.pdf">On a generalization of Euler-Gauss formula for the Gamma function</a>, preprint 2004. %H A097669 Xavier Gourdon and Pascal Sebah, <a href="http://numbers.computation.free.fr/Constants/Miscellaneous/gammaFunction.html">Introduction to the Gamma Function</a>. %H A097669 Andrew Odlyzko, <a href="http://www.dtc.umn.edu/~odlyzko/doc/asymptotic.enum.pdf">Asymptotic enumeration methods</a>, in Handbook of Combinatorics, vol. 2, 1995, pp. 1063-1229. %F A097669 c = ((sqrt(5)+1)/2)^(sqrt(5)/2)/5^(1/4)*exp(Pi/2*sqrt(1-2/sqrt(5))). %e A097669 c = 1.90795953254354252255333813972952036908516068359082968228223... %t A097669 RealDigits[ GoldenRatio^(Sqrt[5]/2)/5^(1/4)*E^(Pi/2Sqrt[1 - 2/Sqrt[5]]), 10, 105][[1]] (* _Robert G. Wilson v_, Aug 27 2004 *) %o A097669 (PARI) 5*exp(psi(3/5)+Euler) %Y A097669 Cf. A097663-A097668, A097670-A097676. %K A097669 cons,nonn %O A097669 1,2 %A A097669 _Paul D. Hanna_, Aug 25 2004 %E A097669 More terms from _Robert G. Wilson v_, Aug 27 2004