%I A095839
%S A095839 1,1,5,51,807,17445,479565,16019955,630301455,28552506885,1463744449125,
%T A095839 83780913568275
%N A095839 Numerator of I(n)=integral_{x=1/2..1} (Sqrt(1-x^2)/x)^(2*n) dx.
%C A095839 The denominator is b(n)=(2*n)!/(n!*2^(n-1).
%t A095839 f[n_] := Numerator[ Integrate[(Sqrt[1 - x^2]/x)^(2n), {x, 1/2, 1}]*(2n)!/
               (n!2^(n + 1)!)]; Table[ f[n], {n, 0, 11}] (* Robert G. Wilson v *)
%t A095839 Numerator[2^(-2 - Gamma[2 + n])*3^(1 + n)*(2*n)!* Hypergeometric2F1Regularized[1, 
               1/2 + n, 2 + n, -3]] Eric Weisstein (eww(AT)wolfram.com), Nov 19 
               2005.
%Y A095839 Sequence in context: A041040 A154886 A145162 this_sequence A107669 A077392 
               A111340
%Y A095839 Adjacent sequences: A095836 A095837 A095838 this_sequence A095840 A095841 
               A095842
%K A095839 nonn
%O A095839 0,3
%A A095839 Al Hakanson (Hawkuu(AT)excite.com), Jun 08 2004
%E A095839 a(8)-a(11) from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 18 2005