cp's OEIS Frontend

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.

A154268 Ratios of consecutive denominators of Stirling's expansion for the Gamma function.

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%I A154268 #8 Aug 03 2012 05:41:28
%S A154268 12,24,180,48,84,360,12,96,5940,168,156,720,12,24,107100,192,228,
%T A154268 11880,12,336,4140,312,12,1440,84,24,516780,48,372,214200,12
%N A154268 Ratios of consecutive denominators of Stirling's expansion for the Gamma function.
%C A154268 The sequence is finite because the ratios are no longer integer after a(30).
%C A154268 All entries are multiples of 12.
%C A154268 a(n) mod 9 is one of {0,3,6}.
%F A154268 a(n) = A001164(n+1)/A001164(n).
%t A154268 dd = Denominator[ CoefficientList[ Normal[ Series[ E^x*x^(x-1/2)*x! / Sqrt[2*Pi], {x, Infinity, 31}]] /. x -> 1/x, x]]; Rest[ dd / RotateRight[dd] ] (* _Jean-François Alcover_, Aug 03 2012 *)
%K A154268 nonn,fini,full
%O A154268 0,1
%A A154268 _Paul Curtz_, Jan 06 2009
%E A154268 Edited and extended by _R. J. Mathar_, Sep 07 2009