A275371 Decimal expansion of the surface area of the convex hull of two orthogonal tangent disks.

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

Offset

2,2

Links

Table of n, a(n) for n=2..103.

Steven R. Finch, Convex Hull of Two Orthogonal Disks, arXiv:1211.4514v3 [math.MG] 2016 p. 5.

Steven R. Finch, Figure of the disks.

Formula

AR_2 = 2 (Pi + 2 sqrt(2) E(1/2)), where E is the complete elliptic integral of the second kind.

Example

13.92358088523501051273481093090189235221427402804476108411088249811...

Mathematica

AR2 = 2 (Pi + 2 Sqrt[2] EllipticE[1/2]);
RealDigits[AR2, 10, 102][[1]]

Crossrefs

Sequence in context: A021259 A194807 A114875 * A225357 A201664 A103824

Adjacent sequences: A275368 A275369 A275370 * A275372 A275373 A275374

Keyword

nonn,cons

Author

Jean-François Alcover, Jul 25 2016

Status

approved