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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 (list; graph; refs; listen; history; text; internal format)
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 * A132098 A223513 A160480

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Comments from Alexander Adamchuk dated Jun 07 2006 were withdrawn Jun 07 2008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

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Last modified November 14 19:12 EST 2018. Contains 317214 sequences. (Running on oeis4.)