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%I #6 Oct 21 2023 15:10:44
%S 1,4,8,16,22,28,34,34,42,42,52,60,66,72,78,70,86,78,96,104,110,116,
%T 122,106,130,114,140,148,154,160,166,142,174,150,184,192,198,204,210,
%U 178,218,186,228,236,242,248,254,214,262,222
%N Coordination sequence Gal.6.577.1 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 21 2021: (Start)
%F a(n) = 2*a(n-2) - 3*a(n-4) + 4*a(n-6) - 3*a(n-8) + 2*a(n-10) - a(n-12) for n > 13.
%F G.f.: (-2*x^13 + 3*x^12 + 6*x^11 + 4*x^10 + 6*x^9 + 11*x^8 + 10*x^7 + 10*x^6 + 8*x^5 + 9*x^4 + 8*x^3 + 6*x^2 + 4*x + 1)/((x - 1)^2*(x + 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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