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Coordination sequence for the XXOXX tiling with respect to a tile of type G.
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%I #13 Feb 27 2022 07:02:08

%S 1,8,23,46,56,79,89,113,120,147,153,181,184,215,217,249,248,283,281,

%T 317,312,351,345,385,376,419,409,453,440,487,473,521,504,555,537,589,

%U 568,623,601,657,632,691,665,725,696,759,729,793,760,827,793,861,824,895

%N Coordination sequence for the XXOXX tiling with respect to a tile of type G.

%C See the main entry A350963 for details about this tiling.

%H Vytautas Gruslys, Imre Leader, and Ta Sheng Tan, <a href="http://arxiv.org/abs/1505.03697">Tiling with arbitrary tiles</a>, arXiv:1505.03697 [math.CO], 2015-2016. A small piece of this tiling is shown in Fig. 2.

%H Rémy Sigrist, <a href="/A351966/a351966.png">Illustration of initial terms</a>

%H Rémy Sigrist, <a href="/A351966/a351966_1.png">Illustration of the configuration for n = 0..100 with cyclic colors</a>

%H Rémy Sigrist, <a href="/A351966/a351966.gp.txt">PARI program</a>

%H N. J. A. Sloane, <a href="https://oeis.org/A350963/a350963_1.pdf">A large portion of the tiling in higher resolution</a>

%H <a href="/index/Con#coordination_sequences">Index entries for coordination sequences</a>

%F Conjectured g.f.: -(-t^9+2*t^8+4*t^7-11*t^6-25*t^5-32*t^4-38*t^3-22*t^2-8*t-1)/((1-t^2)*(1-t^4)). - _N. J. A. Sloane_, Feb 26 2022

%o (PARI) See Links section.

%Y Cf. A350963 (type R), A351967 (type B).

%K nonn

%O 0,2

%A _Rémy Sigrist_ and _N. J. A. Sloane_, Feb 26 2022