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Numerators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk.
3

%I #7 Feb 08 2015 03:24:52

%S 128,2048,16384,524288,4194304,67108864,536870912,34359738368,

%T 274877906944,4398046511104,35184372088832,1125899906842624,

%U 9007199254740992,144115188075855872,1152921504606846976

%N Numerators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DiskLinePicking.html">Disk Line Picking</a>

%F a(k) = Numerator[(2*Gamma[3 + n])/((2 + n)*Gamma[2 + n/2]*Gamma[3 + n/2])] for n = 2k-1.

%e 1, 128/(45*Pi), 1, 2048/(525*Pi), 5/3, 16384/(2205*Pi), ...

%Y Cf. A093070, A093526, A093527, A093529.

%K nonn,frac

%O 1,1

%A _Eric W. Weisstein_, Mar 30 2004