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 A277001 Denominators of an asymptotic series for the Gamma function (even power series). 5
 1, 24, 5760, 2903040, 1393459200, 367873228800, 24103053950976000, 115694658964684800, 9440684171518279680000, 271211974879377138647040000, 3579998068407778230140928000000, 1976158933761093583037792256000000, 258955866680053703121272297226240000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS For formulas and references see A277000 which is the main entry for this rational sequence. LINKS EXAMPLE The underlying rational sequence starts: 1, 0, -1/24, 0, 19/5760, 0, -2561/2903040, 0, 874831/1393459200, 0, ... MAPLE b := n -> CompleteBellB(n, 0, seq((k-2)!*bernoulli(k, 1/2), k=2..n))/n!: A277001 := n -> denom(b(2*n)): seq(A277001(n), n=0..12); MATHEMATICA CompleteBellB[n_, zz_] := Sum[BellY[n, k, zz[[1 ;; n-k+1]]], {k, 1, n}]; b[n_] := CompleteBellB[n, Join[{0}, Table[(k-2)! BernoulliB[k, 1/2], {k, 2, n}]]]/n!; a[n_] := Denominator[b[2n]]; Table[a[n], {n, 0, 12}] (* Jean-François Alcover, Sep 09 2018 *) CROSSREFS Cf. A277000 (numerators), A277002/A277003 (odd power series). Sequence in context: A002555 A239898 A002198 * A163576 A145408 A175672 Adjacent sequences:  A276998 A276999 A277000 * A277002 A277003 A277004 KEYWORD nonn,frac AUTHOR Peter Luschny, Sep 25 2016 STATUS approved

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Last modified April 10 02:39 EDT 2020. Contains 333392 sequences. (Running on oeis4.)