%I A060296
%S A060296 1,1,1,5,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
               3,3,3,3,3,3,
%T A060296 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
               3,
%U A060296 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
               3
%V A060296 1,1,-1,5,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
               3,3,3,3,3,3,3,
%W A060296 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
               3,
%X A060296 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
               3
%N A060296 Number of regular convex polytopes in n-dimensional space, or -1 if the 
               number is infinite.
%D A060296 H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973.
%D A060296 B. Gr\"{u}nbaum, Convex Polytopes. Wiley, NY, 1967, p. 424.
%D A060296 P. McMullen and E. Schulte, Abstract Regular Polytopes, Encyclopedia 
               of Mathematics and its Applications, Vol. 92, Cambridge University 
               Press, Cambridge, 2002.
%e A060296 a(2) = -1 because of the regular polygons in the plane.
%e A060296 a(3) = 5 because in R^3 the regular convex polytopes are the 5 Platonic 
               solids.
%Y A060296 Cf. A000943, A000944, A053016, A063927, A093478, A093479.
%Y A060296 Sequence in context: A011499 A106599 A079267 this_sequence A152061 A114598 
               A123852
%Y A060296 Adjacent sequences: A060293 A060294 A060295 this_sequence A060297 A060298 
               A060299
%K A060296 sign
%O A060296 0,4
%A A060296 Ahmed Fares (ahmedfares(AT)my-deja.com), Mar 24 2001