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

1,1

Links

Table of n, a(n) for n=1..19.

Eric Weisstein's World of Mathematics, Disk Line Picking

Formula

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

Example

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

Crossrefs

Cf. A093070, A093526, A093527, A093528.

Sequence in context: A295319 A147808 A190417 * A197501 A283116 A223047

Adjacent sequences: A093526 A093527 A093528 * A093530 A093531 A093532

Keyword

nonn,frac

Author

Eric W. Weisstein, Mar 30 2004

Status

approved