A093528 Numerators of odd raw moments in the distribution of line lengths for lines picked at random in the unit disk.

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

Offset

1,1

Links

Table of n, a(n) for n=1..15.

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: A232053 A250234 A364690 * A283338 A128696 A195594

Adjacent sequences: A093525 A093526 A093527 * A093529 A093530 A093531

Keyword

nonn,frac

Author

Eric W. Weisstein, Mar 30 2004

Status

approved