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 A311553 Coordination sequence Gal.6.133.1 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 1,4,8,12,17,23,29,35,40,44,48,52,56,60,64,69,75,81,87,92,96,100,104,

%T 108,112,116,121,127,133,139,144,148,152,156,160,164,168,173,179,185,

%U 191,196,200,204,208,212,216,220,225,231

%N Coordination sequence Gal.6.133.1 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_, Jan 24 2020: (Start)

%F a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

%F G.f.: (x^12 + 3*x^11 + 4*x^10 + 4*x^9 + 5*x^8 + 6*x^7 + 6*x^6 + 6*x^5 + 5*x^4 + 4*x^3 + 4*x^2 + 3*x + 1)/(x^12 - x^11 - x + 1). (End)

%K nonn

%O 0,2

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

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Last modified March 25 09:47 EDT 2023. Contains 361520 sequences. (Running on oeis4.)