

A093158


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


2



1, 11, 1, 137, 1, 363, 761, 7129, 61, 83711, 509, 1145993, 1171733, 1195757, 8431, 42142223, 39541, 275295799, 11167027, 18858053, 36093, 444316699, 269564591, 34052522467, 34395742267, 312536252003, 375035183, 9227046511387
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..27.
Eric Weisstein's World of Mathematics, Square Triangle Picking


FORMULA

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


EXAMPLE

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


CROSSREFS

Cf. A093159.
Sequence in context: A282683 A038315 A218018 * A335157 A330077 A132098
Adjacent sequences: A093155 A093156 A093157 * A093159 A093160 A093161


KEYWORD

nonn,frac


AUTHOR

Eric W. Weisstein, Mar 26 2004; Jan 27 2005


EXTENSIONS

Comments from Alexander Adamchuk dated Jun 07 2006 were withdrawn Jun 07 2008


STATUS

approved



