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%I #10 Oct 21 2023 15:10:32
%S 1,3,7,10,14,20,21,27,28,31,37,38,44,50,49,57,56,59,67,66,74,80,77,87,
%T 84,87,97,94,104,110,105,117,112,115,127,122,134,140,133,147,140,143,
%U 157,150,164,170,161,177,168,171
%N Coordination sequence Gal.5.19.2 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_, Dec 24 2019: (Start)
%F a(n) = a(n-1) - a(n-4) + a(n-5) + a(n-8) - a(n-9) + a(n-12) - a(n-13) for n > 13.
%F G.f.: (x^13 + 2*x^12 + 4*x^11 + 3*x^10 + 7*x^9 + 4*x^8 + 9*x^7 + 5*x^6 + 8*x^5 + 5*x^4 + 3*x^3 + 4*x^2 + 2*x + 1)/((x - 1)^2*(x + 1)*(x^2 + 1)*(x^4 + 1)^2). (End)
%K nonn
%O 0,2
%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018
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