login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
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Comments from Alexander Adamchuk dated Jun 07 2006 were withdrawn Jun 07 2008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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)