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Reduced numerators of the raw moments of the distribution of areas for triangles picked at random in a unit square.
2

%I #8 Aug 14 2015 23:22:54

%S 1,11,1,137,1,363,761,7129,61,83711,509,1145993,1171733,1195757,8431,

%T 42142223,39541,275295799,11167027,18858053,36093,444316699,269564591,

%U 34052522467,34395742267,312536252003,375035183,9227046511387

%N Reduced numerators of the raw moments of the distribution of areas for triangles picked at random in a unit square.

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

%F (3*2^(3 - n)*(1 + (2 + n)*HarmonicNumber[1 + n]))/((1 + n)*(2 + n)^3*(3 + n)^2)

%e 1, 11/144, 1/96, 137/72000, 1/2400, 363/3512320, ...

%Y Cf. A093159.

%K nonn,frac

%O 0,2

%A _Eric W. Weisstein_, Mar 26 2004; Jan 27 2005

%E Comments from _Alexander Adamchuk_ dated Jun 07 2006 were withdrawn Jun 07 2008