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A093479
Number of regular (infinite) apeirotopes of full rank in n-dimensional space.
3
0, 1, 6, 8, 18, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8
OFFSET
0,3
REFERENCES
Peter McMullen, Regular polytopes of full rank, lecture at The Coxeter Legacy meeting, Toronto, 2004.
Peter McMullen and Egon Schulte, Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, Vol. 92, Cambridge University Press, Cambridge, 2002.
Peter McMullen and Egon Schulte, Paper to appear in Discrete and Computational Geometry, 2004.
LINKS
Peter McMullen, Regular polytopes of full rank, Discrete Comput Geom 32, 1-35 (2004). See p. 34.
FORMULA
From Elmo R. Oliveira, Sep 23 2025: (Start)
G.f.: x*(1 + 5*x + 2*x^2 + 10*x^3 - 10*x^4)/(1 - x).
E.g.f.: 8*(exp(x) - 1) - 7*x - x^2 + 5*x^4/12.
a(n) = 8 for n > 4. (End)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 22 2004
STATUS
approved