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A315471 Coordination sequence Gal.3.52.3 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. 0

%I #7 Oct 21 2023 15:11:09

%S 1,6,11,16,21,26,32,38,43,48,53,58,64,70,75,80,85,90,96,102,107,112,

%T 117,122,128,134,139,144,149,154,160,166,171,176,181,186,192,198,203,

%U 208,213,218,224,230,235,240,245,250,256,262

%N Coordination sequence Gal.3.52.3 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_, Jul 20 2020: (Start)

%F a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - a(n-6) for n > 6.

%F G.f.: (x^6 + 4*x^5 + x^4 + 4*x^3 + x^2 + 4*x + 1)/((x - 1)^2*(x^2 - x + 1)*(x^2 + 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 September 16 16:54 EDT 2024. Contains 375976 sequences. (Running on oeis4.)