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A126195 Conjectured values for maximal number of solid spheres of radius 1 that can be rolled all in touch with and on the outside surface of a sphere of radius n. +0
1
12, 28, 52, 83, 120 (list; graph; listen)
OFFSET

1,1

COMMENT

A solid sphere of unit radius in touch with and outside a sphere of radius n occupies a projected angle of theta=2*arcsin[1/(1+n)]. (In the projection, the large sphere center, the small sphere center and the point where the tangent from the large sphere center touches the small sphere form a rectilinear triangle with hypotenuse of length 1+n and one cathetus of length 1. One of the angles in the triangle is theta/2.) Values have been obtained by reverse interpolation of these angles theta(n=1,2,3,...)=60, 38.9, 28.95,... degrees etc. from the "min separation" column of the Sloane table to the "npts" column, rounding npts down.

LINKS

D. Eppstein, Sphere Packing and Kissing numbers.

J. Fliege, Integration nodes for the sphere.

N. J. A. Sloane, Spherical codes.

CROSSREFS

Sequence in context: A098502 A158953 A107707 this_sequence A164533 A034319 A097427

Adjacent sequences: A126192 A126193 A126194 this_sequence A126196 A126197 A126198

KEYWORD

more,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 07 2007, corrected Apr 03 2007

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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