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A000361 From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy. 3

%I

%S 1,0,2,1,1,2,5,0,10,6,3,2,19,2,10,1,5,10,89,1,170,28,7,2,71,12,170,5,

%T 25,10,21,0,42,26,51,10,1251,38,682,6,301,170,5833,3,2730,120,15,2,

%U 271,56

%N From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy.

%C Counting filled equal triangles along lines on the Mandelvyn Triangle.

%D Croft, Falconer and Guy, Unsolved Problems in Geometry, Springer-Verlag, 1991; Problem of least k such that there exists a non-simply-connected k-reptile.

%D M. Jeremie Lafitte (Levitas), Sur l'Effet Noa`h en Geometrie, rapport a l'INPI, Mars 1995.

%H M. Jeremie Lafitte (Levitas), <a href="/A000360/a000360_1.pdf">Ensembles Auto-Similaires d'Interieur Non-Vide</a>, Preprint Hiver 1997, Chaire de Geometrie, Departement de Mathematiques, Ecole Polytechnique Federale de Lausanne, Switzerland. [Cached copy, with permission]

%H M. Jeremie Lafitte (Levitas), <a href="/A000360/a000360.png">Fractal triangle underlying A000360, A000361, A000876</a>

%H M. Jeremie Lafitte (Levitas), <a href="/A000360/a000360.pdf">Notes on A000360, A000361, A000876</a> [Based on a latex file sent by M. Jeremie Lafitte (Levitas) to NJAS in 1995 - see file of emails below]

%H M. Jeremie Lafitte (Levitas), <a href="/A000360/a000360.tex">Latex source for the pdf file</a> [Sent by M. Jeremie Lafitte (Levitas) to NJAS in 1995 - see file of emails below]

%H M. Jeremie Lafitte (Levitas) and N. J. A. Sloane, <a href="/A000360/a000360.txt">Emails, 1995-2007</a> (The three sequences mentioned in this correspondence are now A000360, A000361, A000876)

%Y Cf. A000360, A000876.

%K nonn,eigen,nice,more

%O 0,3

%A _M. Jeremie Lafitte (Levitas)_

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Last modified June 1 09:27 EDT 2020. Contains 334759 sequences. (Running on oeis4.)