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Denominator of 4*(Integral_{x=0..1} (1-x^2)^((2n-1)/2) dx)/Pi.
1

%I #6 Mar 29 2015 11:58:14

%S 1,4,8,64,640,2560,35840,114688,688128,13762560,14417920,346030080,

%T 1799356416,2399141888,23991418880,767725404160,2372969431040,

%U 5695126634496,216414812110848,221963909857280,9322484214005760

%N Denominator of 4*(Integral_{x=0..1} (1-x^2)^((2n-1)/2) dx)/Pi.

%e a(2)=4.

%t 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}] (* _Robert G. Wilson v_, Feb 27 2004 *)

%Y Cf. A076729 and A087547.

%K frac,nonn

%O 1,2

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

%E More terms from _Robert G. Wilson v_, Feb 27 2004