A093159 - OEIS

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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

1, 144, 96, 72000, 2400, 3512320, 27095040, 870912000, 24192000, 103038566400, 1873428480, 12223042191360, 35258775552000, 99189522432000, 1889324236800, 25062074933575680, 61426654248960, 1101504369917952000

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..18.

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

Sequence in context: A173713 A252485 A185589 * A350453 A374988 A056628

Adjacent sequences: A093156 A093157 A093158 * A093160 A093161 A093162

KEYWORD

nonn,frac

AUTHOR

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

STATUS

approved