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%I #6 Oct 21 2023 15:10:53
%S 1,5,10,15,20,25,31,37,43,49,55,60,65,70,75,80,85,90,95,100,105,111,
%T 117,123,129,135,140,145,150,155,160,165,170,175,180,185,191,197,203,
%U 209,215,220,225,230,235,240,245,250,255,260
%N Coordination sequence Gal.5.309.5 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 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 Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a>
%F Conjectures from _Chai Wah Wu_, Mar 12 2021: (Start)
%F a(n) = 2*a(n-1) - a(n-2) - a(n-5) + 2*a(n-6) - a(n-7) - a(n-10) + 2*a(n-11) - a(n-12) for n > 12.
%F G.f.: (x^12 + 3*x^11 + x^10 + x^7 + 4*x^6 + x^5 + x^2 + 3*x + 1)/(x^12 - 2*x^11 + x^10 + x^7 - 2*x^6 + x^5 + x^2 - 2*x + 1). (End)
%K nonn
%O 0,2
%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018
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