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 A097303 #15 Sep 23 2022 17:20:13 %S A097303 1,12,144,8640,103680,1741824,104509440,179159040,2149908480, %T A097303 1418939596800,23838185226240,338068808663040,20284128519782400, %U A097303 18723810941337600,32097961613721600,229179445921972224000 %N A097303 Denominators in Stirling's asymptotic series. %C A097303 Numerators coincide with the numbers depicted in A001163 but differ for the first time at entry nr. 33. See the W. Lang link. %C A097303 Stirling's formula for Gamma(z) (|arg(z)| < Pi) uses the asymptotic series Sum_{k>=0} (N(k)/a(k))*((1/z)^k)/k!. For N(k) see the W. Lang link. %H A097303 W. Lang, <a href="/A097303/a097303.txt">More terms and comments</a>. %F A097303 a(n) = denominator(s(n)), where the signed rationals s(n) are the coefficients of ((1/z)^k)/k! in the asymptotic series appearing in Stirling's formula for Gamma(z). %t A097303 max = 15; se = Series[(E^x*Sqrt[1/x]*Gamma[x+1])/(x^x*Sqrt[2*Pi]), {x, Infinity, max}]; Denominator[ CoefficientList[ se /. x -> 1/x, x]*Range[0, max]!] (* _Jean-François Alcover_, Nov 03 2011 *) %Y A097303 Cf. A001163, A001164 (Stirling formula with further links and references.). %K A097303 nonn,easy %O A097303 0,2 %A A097303 _Wolfdieter Lang_, Aug 13 2004