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A093528 Numerators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk. +0
4
128, 2048, 16384, 524288, 4194304, 67108864, 536870912, 34359738368, 274877906944, 4398046511104, 35184372088832, 1125899906842624, 9007199254740992, 144115188075855872, 1152921504606846976 (list; graph; listen)
OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, Disk Line Picking

FORMULA

a(k) = Numerator[(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, A093529.

Sequence in context: A134630 A133061 A070055 this_sequence A128696 A017678 A123253

Adjacent sequences: A093525 A093526 A093527 this_sequence A093529 A093530 A093531

KEYWORD

nonn,frac

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jan 04, 1970

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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