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Search: id:A093158
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| A093158 |
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Reduced numerators 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, 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; listen)
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OFFSET
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0,2
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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. A093159.
Sequence in context: A120449 A101623 A038315 this_sequence A132098 A160480 A045998
Adjacent sequences: A093155 A093156 A093157 this_sequence A093159 A093160 A093161
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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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EXTENSIONS
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Comments from Alexander Adamchuk dated Jun 07 2006 were withdrawn Jun 07 2008
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