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A093529 Pi*denominators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk. 3
45, 525, 2205, 31185, 99099, 585585, 1640925, 35334585, 92147055, 468495027, 1166167275, 11408158125, 27484885575, 130734984825, 307452619485, 11455089532425, 26442675480375, 121132637200575, 275520749478975 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 17 15:26 EDT 2019. Contains 324194 sequences. (Running on oeis4.)