%I
%S 1,4,12,24,36,52,68,76,78,72,64,56,40,12,4,1
%N Coordination sequence for the 120cell: number of vertices n steps away from a given vertex on the regular 120cell (hecatonicosachoron or {3,3,5}).
%C The adjacency graph of the 120cell is a 4regular graph of girth 5 (pentagonal cycles) and diameter 15. There are 30 distinct nonzero distances between vertices of the 120cell in 4space.  _Michael Somos_, Aug 09 2005
%D H. S. M. Coxeter, Introduction to geometry. 2nd edition, John Wiley & Sons, Inc., 1969, pp. 153, 404. MR0346644 (49 #11369)
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/120Cell.html">120Cell</a>
%H <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>
%Y Cf. A118785, A329499.
%K fini,full,nonn
%O 0,2
%A _Andrew Weimholt_, Jul 29 2005
