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Search: id:A093159
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| A093159 |
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Reduced denominators of the raw moments of the distribution of areas for triangles picked at random in a unit square. |
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+0
2
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| 1, 144, 96, 72000, 2400, 3512320, 27095040, 870912000, 24192000, 103038566400, 1873428480, 12223042191360, 35258775552000, 99189522432000, 1889324236800, 25062074933575680, 61426654248960, 1101504369917952000
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Square Triangle Picking
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FORMULA
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(3*2^(3 - n)*(1 + (2 + n)*HarmonicNumber[1 + n]))/((1 + n)*(2 + n)^3*(3 + n)^2)
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EXAMPLE
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1, 11/144, 1/96, 137/72000, 1/2400, 363/3512320, ...
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CROSSREFS
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Cf. A093158.
Sequence in context: A147553 A030122 A057404 this_sequence A056628 A093769 A124512
Adjacent sequences: A093156 A093157 A093158 this_sequence A093160 A093161 A093162
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KEYWORD
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nonn,frac
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Mar 26, 2004; Jan 27 2005
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