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A351967 Coordination sequence for the XXOXX tiling with respect to a tile of type B. 3

%I #15 Feb 27 2022 07:02:57

%S 1,8,20,38,58,73,90,108,122,141,154,176,186,209,218,244,250,277,282,

%T 312,314,345,346,380,378,413,410,448,442,481,474,516,506,549,538,584,

%U 570,617,602,652,634,685,666,720,698,753,730,788,762,821,794,856,826,889

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

%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="/A351967/a351967.png">Illustration of initial terms</a>

%H Rémy Sigrist, <a href="/A351967/a351967_1.png">Illustration of the configuration for n = 0..100 with cyclic colors</a>

%H Rémy Sigrist, <a href="/A351967/a351967.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.: -(2*t^9+6*t^8-5*t^7-13*t^6-27*t^5-37*t^4-30*t^3-19*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), A351966 (type G).

%K nonn

%O 0,2

%A _Rémy Sigrist_, Feb 26 2022

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Last modified August 31 08:34 EDT 2024. Contains 375560 sequences. (Running on oeis4.)