A215447 Decimal expansion of the Oloid's volume.

3, 0, 5, 2, 4, 1, 8, 4, 6, 8, 4, 2, 4, 3, 7, 4, 8, 5, 6, 6, 9, 7, 2, 0, 0, 5, 3, 1, 9, 3, 2, 1, 8, 6, 2, 5, 4, 5, 6, 8, 3, 9, 3, 2, 1, 0, 6, 4, 2, 9, 8, 3, 7, 1, 1, 0, 9, 0, 4, 9, 2, 0, 0, 3, 0, 7, 7, 6, 6, 1, 2, 0, 3, 8, 0, 7, 5, 2, 9, 5, 4, 9, 8, 0, 5, 5, 4, 5, 4, 0, 8, 4, 2, 6, 5, 6, 1, 2, 5, 4, 7, 8, 4, 1, 8

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Uwe Bäsel, The mean width of the oloid and integral geometric applications of it, arXiv preprint arXiv:1604.07245 [math.MG], 2016.

H. Dirnboeck and H. Stachel, The Development of the Oloid, Journal for Geometry and Graphics, Volume 1, No. 2 (1997), 105-118.

Robert Ferréol (MathCurve), Oloid.

Steven R. Finch, Convex Hull of Two Orthogonal Disks, arXiv:1211.4514v3 [math.MG], 2016, p. 14.

Eric Weisstein's World of Mathematics, Oloid.

Wikipedia, Oloid.

Example

3.052418468424374856697200531932186254568393210642983711090492003...

Maple

2/3*(EllipticK(sqrt(3)/2)+2*EllipticE(sqrt(3)/2)); evalf(%, 120); # R. J. Mathar, Aug 11 2012, corrected by Vaclav Kotesovec, Apr 22 2015

Mathematica

v[r_] := 2/3*(EllipticK[3/4] + 2*EllipticE[3/4])*r^3; RealDigits[N[v[1], 105]] // First

Crossrefs

Sequence in context: A196111 A261628 A007431 * A346692 A159980 A343054

Adjacent sequences: A215444 A215445 A215446 * A215448 A215449 A215450

Keyword

nonn,cons

Author

Jean-François Alcover, Aug 10 2012

Status

approved