A093158 Reduced numerators of the raw moments of the distribution of areas for triangles picked at random in a unit square.

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

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 * A335157 A330077 A132098

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Comments from Alexander Adamchuk dated Jun 07 2006 were withdrawn Jun 07 2008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