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%I #16 Mar 20 2024 14:42:01
%S 1,7,39,436,4776,45775,334380,1826415,7355498,21671527,46176020,
%T 70145269,74619659,54482049,26749384,8690111,1856685,263268,25265,
%U 1683,86,9,1,1
%N Number of special cuts of 600-cell with n vertices up to symmetries of the polytope.
%C The 600-cell is a 4-D regular polytope with 120 vertices whose facets are 600 tetrahedra and a special cut is a family S of vertices of 600-cells such that no two vertices in S are adjacent. The index n of this sequence is the number of vertices of S. Since the number of vertices in S is at most 24, the sequence is finite.
%H Mathieu Dutour Sikiric, <a href="https://mathieudutsik.github.io/SpecialCuts/index.html">Special cuts of 600-cell</a>
%H Mathieu Dutour Sikirić and Wendy Myrvold, <a href="http://www.emis.de/journals/BAG/vol.49/no.1/22.html">The Special Cuts of the 600-cell</a>, Beiträge zur Algebra und Geometrie, Vol. 49, No. 1 (2008), 269-275; <a href="https://arxiv.org/abs/0708.3443">arXiv:0708.3443</a> [math.MG], 2007.
%Y Cf. A143661.
%K fini,full,nonn
%O 1,2
%A Mathew Odilika (fre54108(AT)yahoo.it), Feb 11 2008
%E Name edited by _Andrey Zabolotskiy_, Mar 20 2024
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