A093529 Pi*denominators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk.

45, 525, 2205, 31185, 99099, 585585, 1640925, 35334585, 92147055, 468495027, 1166167275, 11408158125, 27484885575, 130734984825, 307452619485, 11455089532425, 26442675480375, 121132637200575, 275520749478975

Offset: 1

Author

Eric W. Weisstein, Mar 30 2004

Keywords

• nonn
• frac

Examples

			1, 128/(45*Pi), 1, 2048/(525*Pi), 5/3, 16384/(2205*Pi), ...
		

Links

• Eric Weisstein's World of Mathematics, Disk Line Picking

Crossrefs

Cf. A093070, A093526, A093527, A093528.

Formula

a(k) = Pi*Denominator[(2*Gamma[3 + n])/((2 + n)*Gamma[2 + n/2]*Gamma[3 + n/2])] for n = 2k-1.