A260646 Decimal expansion of Pi^12/12!, the absolute density of the Leech lattice.

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

Offset

0,4

Links

Table of n, a(n) for n=0..86.

Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko and Maryna Viazovska, The sphere packing problem in dimension 24, Annals of Mathematics, 185 (2017), 1017-1033; arXiv:1603.06518 [math.NT], 2016-2017.

J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, 1998 (see also Corrections and Updates), Chapter 4, Section 11.

G. Nebe and N. J. A. Sloane, Home page for Leech lattice.

A. Roberts, Properties of the Leech Lattice, 2006.

N. J. A. Sloane and Andrey Zabolotskiy, Table of maximal density of a packing of equal spheres in n-dimensional Euclidean space (some values are only conjectural).

Wikipedia, Leech lattice

Index entries for transcendental numbers

Example

0.001929574309403923047903345563685957640168471815...

Mathematica

RealDigits[N[Pi^12/12!, 120]]//First (* Michael De Vlieger, Nov 12 2015 *)

Prog

(PARI) { default(realprecision, 50080); x=Pi^12/12!; for(n=1, 100, d=floor(x); x=(x-d)*10; print1(d, ", ")) }

Crossrefs

Densities of other lattices: A093766, A093825, A222068, A222069, A222070, A222071, A222072.

Related to Leech lattice: A008408, A323282.

Sequence in context: A275362 A217174 A230157 * A200234 A242743 A197812

Adjacent sequences: A260643 A260644 A260645 * A260647 A260648 A260649

Keyword

nonn,cons

Author

Felix Fröhlich, Nov 12 2015

Status

approved