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Coordination sequence Gal.4.61.1 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.
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%I #7 Oct 21 2023 15:10:42

%S 1,4,8,14,18,24,28,32,36,40,46,50,56,60,64,68,72,78,82,88,92,96,100,

%T 104,110,114,120,124,128,132,136,142,146,152,156,160,164,168,174,178,

%U 184,188,192,196,200,206,210,216,220,224

%N Coordination sequence Gal.4.61.1 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_, Jul 24 2020: (Start)

%F a(n) = a(n-1) + a(n-7) - a(n-8) for n > 8.

%F G.f.: (x^8 + 3*x^7 + 4*x^6 + 6*x^5 + 4*x^4 + 6*x^3 + 4*x^2 + 3*x + 1)/(x^8 - x^7 - x + 1). (End)

%K nonn

%O 0,2

%A _Brian Galebach_ and _N. J. A. Sloane_, Jun 18 2018