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A260646
Decimal expansion of Pi^12/12!, the absolute density of the Leech lattice.
12
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
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.
Wikipedia, Leech lattice
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
KEYWORD
nonn,cons
AUTHOR
Felix Fröhlich, Nov 12 2015
STATUS
approved