%I #6 Oct 21 2023 15:11:03
%S 1,5,9,14,17,22,25,30,36,40,43,49,52,57,60,65,72,75,77,84,87,92,95,
%T 100,108,110,111,119,122,127,130,135,144,145,145,154,157,162,165,170,
%U 180,180,179,189,192,197,200,205,216,215
%N Coordination sequence Gal.6.528.5 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_, Jan 13 2023: (Start)
%F a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6) + a(n-7) + a(n-8) - a(n-9) + a(n-10) - a(n-11) + a(n-12) - a(n-13) + a(n-14) - a(n-15) for n > 15.
%F G.f.: (x^15 + 4*x^14 + 6*x^13 + 7*x^12 + 11*x^11 + 10*x^10 + 15*x^9 + 15*x^8 + 19*x^7 + 11*x^6 + 14*x^5 + 8*x^4 + 9*x^3 + 5*x^2 + 4*x + 1)/((x - 1)^2*(x + 1)*(x^2 + 1)^2*(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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