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A277003 Denominators of an asymptotic series for the Gamma function (odd power series). 3
24, 2880, 40320, 215040, 608256, 738017280, 1277952, 4010803200, 32006209536, 65745715200, 1736441856, 12641296711680, 10066329600, 12611097722880, 1337897345089536, 1086454927196160, 3401614098432, 83088011510887219200, 61022895341568 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For formulas and references see A277002 which is the main entry for this rational sequence.

LINKS

Table of n, a(n) for n=1..19.

FORMULA

a(n) = denominator(b(2*n-1)) with b(n) = Bernoulli(n+1, 1/2)/(n*(n+1)) for n>=1, b(0)=0.

EXAMPLE

The underlying rational sequence b(n) starts:

0, -1/24, 0, 7/2880, 0, -31/40320, 0, 127/215040, 0, -511/608256, ...

MAPLE

b := n -> `if`(n=0, 0, bernoulli(n+1, 1/2)/(n*(n+1))):

a := n -> denom(b(2*n-1)):

seq(a(n), n=1..19);

CROSSREFS

Cf. A277002 (numerators), A277000/A277001 (even power series).

Sequence in context: A092706 A209708 A266870 * A060902 A090444 A205795

Adjacent sequences:  A277000 A277001 A277002 * A277004 A277005 A277006

KEYWORD

nonn,frac

AUTHOR

Peter Luschny, Sep 26 2016

STATUS

approved

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Last modified October 20 17:39 EDT 2017. Contains 293648 sequences.