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%I #21 Jan 15 2023 02:06:45
%S 5,8,16,24,120,600
%N Number of 3-dimensional cells in the regular 4-dimensional polytopes.
%C Sorted by number of 3-dimensional cells.
%C Also, number of vertices of the regular 4-dimensional polyhedra. - _Douglas Boffey_, Aug 12 2012
%D H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973.
%H Paul Bourke, <a href="http://paulbourke.net/geometry/hyperspace/">Regular polytopes (Platonic solids) in 4D</a>
%H <a href="/index/Pol#polytopes">Index entries for sequences related to polytopes</a>
%F a(n) = A063925(n) - A063926(n) + A063927(n).
%e a(2) = 8 since a 4D hypercube contains eight cubes.
%Y Cf. A053016, A060296, A063722, A063723.
%K fini,full,nonn
%O 1,1
%A _Henry Bottomley_, Aug 15 2001
%E Corrected faces to cells by _Douglas Boffey_, Aug 12 2012