|
Search: id:A093529
|
|
|
| A093529 |
|
Pi*denominators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk. |
|
+0
4
|
|
| 45, 525, 2205, 31185, 99099, 585585, 1640925, 35334585, 92147055, 468495027, 1166167275, 11408158125, 27484885575, 130734984825, 307452619485, 11455089532425, 26442675480375, 121132637200575, 275520749478975
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
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: A036495 A053137 A086576 this_sequence A027783 A090024 A110691
Adjacent sequences: A093526 A093527 A093528 this_sequence A093530 A093531 A093532
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
Eric Weisstein (eric(AT)weisstein.com), Jan 04, 1970
|
|
|
Search completed in 0.002 seconds
|
