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 A310185 Coordination sequence Gal.4.15.2 where G.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. 0

%I

%S 1,3,7,10,13,19,20,23,29,30,33,41,40,43,51,50,53,63,60,63,73,70,73,85,

%T 80,83,95,90,93,107,100,103,117,110,113,129,120,123,139,130,133,151,

%U 140,143,161,150,153,173,160,163

%N Coordination sequence Gal.4.15.2 where G.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_, Dec 24 2019: (Start)

%F a(n) = a(n-3) + a(n-6) - a(n-9) for n > 9.

%F G.f.: (x^9 + 3*x^8 + 7*x^7 + 9*x^6 + 12*x^5 + 10*x^4 + 9*x^3 + 7*x^2 + 3*x + 1)/(x^9 - x^6 - x^3 + 1). (End)

%K nonn

%O 0,2

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

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Last modified December 7 19:47 EST 2021. Contains 349585 sequences. (Running on oeis4.)