Search: id:A097303
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%I A097303
%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((N(k)/a(k))*((1/z)^k)/k!,k=0..infinity). For N(k) see the W. 
               Lang link.
%H A097303 W. Lang, <a href="http://www-itp.physik.uni-karlsruhe.de/~wl/EISpub/A097303.text">
               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).
%Y A097303 Cf. A001163, A001164 (Stirling formula with further links and references.).
%Y A097303 Sequence in context: A143248 A138444 A137886 this_sequence A067219 A075619 
               A055332
%Y A097303 Adjacent sequences: A097300 A097301 A097302 this_sequence A097304 A097305 
               A097306
%K A097303 nonn,easy
%O A097303 0,2
%A A097303 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Aug 13 2004

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