The On-Line Encyclopedia of Integer Sequences (OEIS)

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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.
(history; published version)

#7 by Joerg Arndt at Sun Feb 08 03:24:52 EST 2015

STATUS

reviewed

approved

#6 by Michel Marcus at Sun Feb 08 03:04:06 EST 2015

STATUS

proposed

reviewed

#5 by Jon E. Schoenfield at Sun Feb 08 02:46:15 EST 2015

STATUS

editing

proposed

#4 by Jon E. Schoenfield at Sun Feb 08 02:46:12 EST 2015

AUTHOR

Eric W. Weisstein, Jan 04, 1970Mar 30 2004

STATUS

approved

editing

#3 by Russ Cox at Sat Mar 31 12:39:03 EDT 2012

AUTHOR

_Eric W. Weisstein (eric(AT)weisstein.com), _, Jan 04, 1970

Discussion

Sat Mar 31

12:39

OEIS Server: https://oeis.org/edit/global/877

#2 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

nonn,frac,new

AUTHOR

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

#1 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

NAME

Numerators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk.

DATA

128, 2048, 16384, 524288, 4194304, 67108864, 536870912, 34359738368, 274877906944, 4398046511104, 35184372088832, 1125899906842624, 9007199254740992, 144115188075855872, 1152921504606846976

OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DiskLinePicking.html">Disk Line Picking</a>

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.

KEYWORD

nonn,frac

AUTHOR

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

STATUS

approved