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A315464 Coordination sequence Gal.6.346.5 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

%I A315464 #6 Oct 21 2023 15:11:09
%S A315464 1,6,11,16,21,25,31,35,40,45,50,56,62,67,72,77,81,87,91,96,101,106,
%T A315464 112,118,123,128,133,137,143,147,152,157,162,168,174,179,184,189,193,
%U A315464 199,203,208,213,218,224,230,235,240,245,249
%N A315464 Coordination sequence Gal.6.346.5 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.
%C A315464 Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.
%H A315464 Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a>
%F A315464 From _Chai Wah Wu_, Dec 20 2019: (Start)
%F A315464 a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12 (conjectured).
%F A315464 G.f.: (x^12 + 5*x^11 + 5*x^10 + 5*x^9 + 5*x^8 + 4*x^7 + 6*x^6 + 4*x^5 + 5*x^4 + 5*x^3 + 5*x^2 + 5*x + 1)/(x^12 - x^11 - x + 1) (conjectured). (End)
%K A315464 nonn
%O A315464 0,2
%A A315464 _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018