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A315907 Coordination sequence Gal.3.40.3 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. 1

%I #11 Jan 16 2024 15:54:57

%S 1,6,8,14,20,22,28,34,36,42,48,50,56,62,64,70,76,78,84,90,92,98,104,

%T 106,112,118,120,126,132,134,140,146,148,154,160,162,168,174,176,182,

%U 188,190,196,202,204,210,216,218,224,230

%N Coordination sequence Gal.3.40.3 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 _R. J. Mathar_, May 02 2023: (Start)

%F G.f.: 1 + 2*x*(3+x+3*x^2) / ( (1+x+x^2)*(x-1)^2 ).

%F a(n) = a(n-1) + a(n-3) - a(n-4) for n > 4.

%F a(n) = 2*A047342(n+1) for n > 0. (End)

%Y Cf. A047342.

%K nonn

%O 0,2

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

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)