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A315942 Coordination sequence Gal.6.507.5 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 15:11:11

%S 1,6,8,18,18,22,36,34,34,54,44,50,72,62,60,90,70,78,108,90,86,126,96,

%T 106,144,118,112,162,122,134,180,146,138,198,148,162,216,174,164,234,

%U 174,190,252,202,190,270,200,218,288,230

%N Coordination sequence Gal.6.507.5 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 09 2020: (Start)

%F a(n) = 2*a(n-6) - a(n-12) for n > 12.

%F G.f.: (x^12 + 6*x^11 + 8*x^10 + 18*x^9 + 18*x^8 + 22*x^7 + 34*x^6 + 22*x^5 + 18*x^4 + 18*x^3 + 8*x^2 + 6*x + 1)/(x^12 - 2*x^6 + 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 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)