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 A097673 #20 Feb 27 2021 13:20:38 %S A097673 0,0,3,2,4,1,1,2,2,8,3,0,0,9,6,3,0,7,3,7,4,7,5,1,1,7,1,2,1,7,9,1,9,0, %T A097673 1,7,0,1,0,7,3,8,4,7,9,2,2,1,5,1,0,4,0,0,6,9,2,9,9,0,5,9,2,3,0,5,1,8, %U A097673 5,7,1,1,0,2,1,3,7,4,1,0,1,1,3,2,7,9,8,7,0,4,4,4,3,6,4,9,4,7,3,7,7,4,7,2,2 %N A097673 Decimal expansion of the constant 8*exp(psi(1/8) + EulerGamma), where EulerGamma is the Euler-Mascheroni constant (A001620) and psi(x) is the digamma function. %C A097673 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-8 linear recursions with varying coefficients (see A097682 for example). %D A097673 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 A097673 G. C. Greubel, <a href="/A097673/b097673.txt">Table of n, a(n) for n = 0..2500</a> %H A097673 Benoit Cloitre, <a href="/A097679/a097679.pdf">On a generalization of Euler-Gauss formula for the Gamma function</a>, preprint 2004. %H A097673 Xavier Gourdon and Pascal Sebah, <a href="http://numbers.computation.free.fr/Constants/Miscellaneous/gammaFunction.html">Introduction to the Gamma Function</a>. %H A097673 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 A097673 c = (1+sqrt(2))^(-sqrt(2))/2*exp(-Pi/2*(1+sqrt(2))). %e A097673 c = 0.00324112283009630737475117121791901701073847922151040069299... %t A097673 RealDigits[(1 + Sqrt[2])^(-Sqrt[2])/2E^(-Pi/2*(1 + Sqrt[2])), 10, 103][[1]] (* _Robert G. Wilson v_, Aug 27 2004 *) %o A097673 (PARI) 8*exp(psi(1/8)+Euler) %Y A097673 Cf. A097663-A097672, A097674-A097676. %K A097673 cons,nonn %O A097673 0,3 %A A097673 _Paul D. Hanna_, Aug 25 2004 %E A097673 More terms from _Robert G. Wilson v_, Aug 27 2004