A093159 Reduced denominators of the raw moments of the distribution of areas for triangles picked at random in a unit square.

1, 144, 96, 72000, 2400, 3512320, 27095040, 870912000, 24192000, 103038566400, 1873428480, 12223042191360, 35258775552000, 99189522432000, 1889324236800, 25062074933575680, 61426654248960, 1101504369917952000

Offset: 1

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. A093158.

Formula

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