

A108997


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


4



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

0,2


COMMENTS

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


REFERENCES

H. S. M. Coxeter, Introduction to geometry. 2nd edition, John Wiley & Sons, Inc., 1969, pp. 153, 404. MR0346644 (49 #11369)


LINKS

Table of n, a(n) for n=0..15.
Eric Weisstein's World of Mathematics, 120Cell
Index entries for coordination sequences


CROSSREFS

Cf. A118785, A329499.
Sequence in context: A307763 A071228 A304077 * A159795 A301171 A033602
Adjacent sequences: A108994 A108995 A108996 * A108998 A108999 A109000


KEYWORD

fini,full,nonn


AUTHOR

Andrew Weimholt, Jul 29 2005


STATUS

approved



