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

12, 24, 180, 48, 84, 360, 12, 96, 5940, 168, 156, 720, 12, 24, 107100, 192, 228, 11880, 12, 336, 4140, 312, 12, 1440, 84, 24, 516780, 48, 372, 214200, 12

Offset

0,1

Comments

The sequence is finite because the ratios are no longer integer after a(30).

All entries are multiples of 12.

a(n) mod 9 is one of {0,3,6}.

Links

Table of n, a(n) for n=0..30.

Formula

a(n) = A001164(n+1)/A001164(n).

Mathematica

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 *)

Crossrefs

Sequence in context: A056490 A130163 A002167 * A058994 A198808 A249134

Adjacent sequences: A154265 A154266 A154267 * A154269 A154270 A154271

Keyword

nonn,fini,full

Author

Paul Curtz, Jan 06 2009

Extensions

Edited and extended by R. J. Mathar, Sep 07 2009

Status

approved