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A086891 Denominator of 4*(Integral_{x=0..1} (1-x^2)^((2n-1)/2) dx)/Pi. 1
1, 4, 8, 64, 640, 2560, 35840, 114688, 688128, 13762560, 14417920, 346030080, 1799356416, 2399141888, 23991418880, 767725404160, 2372969431040, 5695126634496, 216414812110848, 221963909857280, 9322484214005760 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

EXAMPLE

a(2)=4.

MATHEMATICA

f[n_] := Denominator[ 3Simplify[ Sqrt[2]((Integrate[(1 + x^2)^((2n - 1)/2), {x, 0, 1}]) - (2n - 1)!!ArcSinh[1]/(2n)!!)]]; Table[ f[n], {n, 1, 21}] (from Robert G. Wilson v Feb 27 2004)

CROSSREFS

Cf. A076729 and A087547.

Sequence in context: A120777 A091095 A075787 * A117636 A051226 A013112

Adjacent sequences:  A086888 A086889 A086890 * A086892 A086893 A086894

KEYWORD

frac,nonn

AUTHOR

Al Hakanson (hawkuu(AT)excite.com), Sep 18 2003

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 27 2004

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.