login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A108997 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}). 4

%I

%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="http://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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 4 18:38 EDT 2020. Contains 335448 sequences. (Running on oeis4.)