A108997 - OEIS

%I #13 Feb 16 2025 08:32:58

%S 1,4,12,24,36,52,68,76,78,72,64,56,40,12,4,1

%N Coordination sequence for the 120-cell: number of vertices n steps away from a given vertex on the regular 120-cell (hecatonicosachoron or {3,3,5}).

%C The adjacency graph of the 120-cell is a 4-regular graph of girth 5 (pentagonal cycles) and diameter 15. There are 30 distinct nonzero distances between vertices of the 120-cell in 4-space. - _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="https://mathworld.wolfram.com/120-Cell.html">120-Cell</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