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%I #6 Oct 21 2023 15:10:50
%S 1,5,10,13,19,26,29,35,40,43,48,51,60,67,67,72,77,85,90,89,96,103,110,
%T 115,115,120,125,133,140,141,144,149,160,165,163,166,173,187,190,187,
%U 192,197,210,213,211,218,221,235,240,235
%N Coordination sequence Gal.5.220.4 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 25 2021: (Start)
%F a(n) = - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) + 2*a(n-7) + 2*a(n-9) - a(n-10) + 2*a(n-11) - a(n-12) - a(n-14) - a(n-16) for n > 16.
%F G.f.: (x + 1)^2*(x^2 - x + 1)*(x^12 + 4*x^11 + 7*x^10 + 10*x^9 + 15*x^8 + 16*x^7 + 16*x^6 + 16*x^5 + 15*x^4 + 10*x^3 + 7*x^2 + 4*x + 1)/((x - 1)^2*(x^2 + 1)*(x^4 + 1)*(x^4 + x^3 + x^2 + x + 1)^2). (End)
%K nonn
%O 0,2
%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018
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