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A311285 Coordination sequence Gal.4.70.2 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 15:10:36

%S 1,4,8,12,16,21,26,30,34,37,40,45,50,55,60,63,66,70,74,79,84,88,92,96,

%T 100,104,108,112,116,121,126,130,134,137,140,145,150,155,160,163,166,

%U 170,174,179,184,188,192,196,200,204

%N Coordination sequence Gal.4.70.2 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_, Feb 28 2022: (Start)

%F a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 3*a(n-4) + 4*a(n-5) - 3*a(n-6) + 2*a(n-7) - 2*a(n-8) + 2*a(n-9) - a(n-10) for n > 10.

%F G.f.: (x^5 + x^4 + x^2 + x + 1)*(x^5 + x^4 + x^3 + x + 1)/((x - 1)^2*(x^4 + 1)*(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 May 3 13:17 EDT 2024. Contains 372212 sequences. (Running on oeis4.)