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 A331777 #20 Oct 29 2020 20:37:02
%S A331777 1,1,1,0,-1,1,-1,-43,1831,949,-137309,-85511,3404045159,777985057,
%T A331777 -21024051077,-2192231411,467347169033357,10187765700589,
%U A331777 -11741590582705819219,-3086703970985605357,169597995722575162268081,19606186988235984155519,-62715098968866173387571821
%N A331777 Numerators of coefficients in asymptotic expansion of exp(2*(H_k-gamma))/k^2 in powers of 1/k, where H_k are the harmonic numbers A001008/A002805 and gamma is the Euler-Mascheroni constant A001620.
%H A331777 Chao-Ping Chen, <a href="http://dx.doi.org/10.1007/s11139-015-9670-3">On the coefficients of asymptotic expansion for the harmonic number by Ramanujan</a>, The Ramanujan Journal, 40:2 (2016), 279-290. See Eq. (2.11).
%t A331777 Numerator[CoefficientList[Series[Exp[2*(HarmonicNumber[k] - EulerGamma)]/k^2, {k, Infinity, 25}], 1/k]] (* _Vaclav Kotesovec_, Feb 10 2020 *)
%Y A331777 Denominators are in A331778.
%Y A331777 Cf. A001008, A001620, A002805, A093334, A238813, A331943.
%K A331777 sign,frac
%O A331777 0,8
%A A331777 _N. J. A. Sloane_, Feb 09 2020
%E A331777 Sign of a(7) corrected and more terms from _Vaclav Kotesovec_, Feb 10 2020