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A298808 Growth series for group with presentation < S, T : S^2 = T^3 = (S*T)^4 = 1 >.

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%I A298808 #28 Dec 14 2024 14:34:35
%S A298808 1,3,4,6,6,3,1
%N A298808 Growth series for group with presentation < S, T : S^2 = T^3 = (S*T)^4 = 1 >.
%C A298808 This group is finite, so the growth series is a polynomial.
%C A298808 Coordination sequence for truncated cube (see Karzes link). The coordination sequence for the cuboctahedron is 1,4,6,1, which is too short to have its own entry.  - _N. J. A. Sloane_, Nov 20 2019
%H A298808 Tom Karzes, <a href="/A298808/a298808.html">Polyhedron Coordination Sequences</a>
%H A298808 <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>
%o A298808 (Magma) // See Magma program in A298805.
%Y A298808 Cf. A008579, A298802, A298805.
%K A298808 nonn,easy,fini,full
%O A298808 0,2
%A A298808 _John Cannon_ and _N. J. A. Sloane_, Feb 06 2018