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A093529 Pi*denominators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk.

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%I A093529 #8 Feb 16 2025 08:32:53
%S A093529 45,525,2205,31185,99099,585585,1640925,35334585,92147055,468495027,
%T A093529 1166167275,11408158125,27484885575,130734984825,307452619485,
%U A093529 11455089532425,26442675480375,121132637200575,275520749478975
%N A093529 Pi*denominators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk.
%H A093529 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DiskLinePicking.html">Disk Line Picking</a>
%F A093529 a(k) = Pi*Denominator[(2*Gamma[3 + n])/((2 + n)*Gamma[2 + n/2]*Gamma[3 + n/2])] for n = 2k-1.
%e A093529 1, 128/(45*Pi), 1, 2048/(525*Pi), 5/3, 16384/(2205*Pi), ...
%Y A093529 Cf. A093070, A093526, A093527, A093528.
%K A093529 nonn,frac
%O A093529 1,1
%A A093529 _Eric W. Weisstein_, Mar 30 2004