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A093159 Reduced denominators of the raw moments of the distribution of areas for triangles picked at random in a unit square. 1

%I #7 Aug 14 2015 23:23:06

%S 1,144,96,72000,2400,3512320,27095040,870912000,24192000,103038566400,

%T 1873428480,12223042191360,35258775552000,99189522432000,

%U 1889324236800,25062074933575680,61426654248960,1101504369917952000

%N Reduced denominators 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. A093158.

%K nonn,frac

%O 1,2

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

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Last modified March 28 16:58 EDT 2024. Contains 371254 sequences. (Running on oeis4.)