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

Author

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

Keywords

• nonn
• frac

Examples

			1, 11/144, 1/96, 137/72000, 1/2400, 363/3512320, ...
		

Links

• Eric Weisstein's World of Mathematics, Square Triangle Picking

Crossrefs

Cf. A093159.

Formula

(3*2^(3 - n)*(1 + (2 + n)*HarmonicNumber[1 + n]))/((1 + n)*(2 + n)^3*(3 + n)^2)

Extensions

Comments from Alexander Adamchuk dated Jun 07 2006 were withdrawn Jun 07 2008