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A298809 Growth series for group with presentation < S, T : S^2 = T^3 = (S*T)^5 = 1 >.

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%I A298809 #20 Dec 14 2024 14:35:32
%S A298809 1,3,4,6,8,10,8,10,6,3,1
%N A298809 Growth series for group with presentation < S, T : S^2 = T^3 = (S*T)^5 = 1 >.
%C A298809 This group is finite, so the growth series is a polynomial.
%C A298809 Coordination sequence for truncated dodecahedron (see Karzes link). - _N. J. A. Sloane_, Nov 20 2019
%H A298809 Tom Karzes, <a href="/A298808/a298808.html">Polyhedron Coordination Sequences</a>
%H A298809 N. J. A. Sloane, <a href="/A298809/a298809.pdf">The 60 vertices of the truncated dodecahedron labeled with their distance from a base vertex.</a>
%H A298809 <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>
%o A298809 (Magma) // See Magma program in A298805.
%Y A298809 Cf. A008579, A298802, A298805.
%K A298809 nonn,easy,fini,full
%O A298809 0,2
%A A298809 _John Cannon_ and _N. J. A. Sloane_, Feb 06 2018