%I #6 Oct 21 2023 15:11:10
%S 1,6,12,12,24,30,36,36,42,54,54,60,66,78,78,78,90,96,102,102,114,120,
%T 120,126,132,144,144,150,156,162,168,168,180,186,192,192,198,210,210,
%U 216,222,234,234,234,246,252,258,258,270,276
%N Coordination sequence Gal.3.57.3 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_, Jun 11 2020: (Start)
%F a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-7) - a(n-8) + a(n-9) - a(n-10) for n > 10.
%F G.f.: (x^10 + 5*x^9 + 7*x^8 + 5*x^7 + 18*x^6 + 6*x^5 + 18*x^4 + 5*x^3 + 7*x^2 + 5*x + 1)/(x^10 - x^9 + x^8 - x^7 - x^3 + x^2 - x + 1). (End)
%K nonn
%O 0,2
%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018