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%I #6 May 02 2024 10:50:51
%S 1,6,11,13,17,19,23,25,36,42,48,47,49,53,55,59,61,78,84,90,83,85,89,
%T 91,95,97,120,126,132,119,121,125,127,131,133,162,168,174,155,157,161,
%U 163,167,169,204,210,216,191,193,197
%N Coordination sequence Gal.6.46.6 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_, May 01 2024: (Start)
%F a(n) = a(n-1) - a(n-3) + a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) + a(n-12) - a(n-13) + a(n-15) - a(n-16) for n > 16.
%F G.f.: (x^16 + 5*x^15 + 5*x^14 + 3*x^13 + 9*x^12 + 7*x^11 + 7*x^10 + 11*x^9 + 18*x^8 + 11*x^7 + 7*x^6 + 7*x^5 + 9*x^4 + 3*x^3 + 5*x^2 + 5*x + 1)/((x - 1)^2*(x^2 + x + 1)*(x^6 + x^3 + 1)^2). (End)
%K nonn
%O 0,2
%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018
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