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A310530 Coordination sequence Gal.5.134.1 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. 0

%I #6 Oct 21 2023 15:10:34

%S 1,4,10,16,22,28,34,40,44,48,54,60,66,72,78,84,88,92,98,104,110,116,

%T 122,128,132,136,142,148,154,160,166,172,176,180,186,192,198,204,210,

%U 216,220,224,230,236,242,248,254,260,264,268

%N Coordination sequence Gal.5.134.1 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_, Jan 24 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) - 2*a(n-6) + 2*a(n-7) - a(n-8) for n > 8.

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

%K nonn

%O 0,2

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

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Last modified April 24 15:18 EDT 2024. Contains 371960 sequences. (Running on oeis4.)