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A000361
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From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy.
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3
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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, 25, 10, 21, 0, 42, 26, 51, 10, 1251, 38, 682, 6, 301, 170, 5833, 3, 2730, 120, 15, 2, 271, 56
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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Counting filled equal triangles along lines on the Mandelvyn Triangle.
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REFERENCES
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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.
M. Jeremie Lafitte (Levitas), Sur l'Effet Noa`h en Geometrie, rapport a l'INPI, Mars 1995.
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LINKS
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Table of n, a(n) for n=0..49.
M. Jeremie Lafitte (Levitas), Ensembles Auto-Similaires d'Interieur Non-Vide, Preprint Hiver 1997, Chaire de Geometrie, Departement de Mathematiques, Ecole Polytechnique Federale de Lausanne, Switzerland. [Cached copy, with permission]
M. Jeremie Lafitte (Levitas), Fractal triangle underlying A000360, A000361, A000876
M. Jeremie Lafitte (Levitas), Notes on A000360, A000361, A000876 [Based on a latex file sent by M. Jeremie Lafitte (Levitas) to NJAS in 1995 - see file of emails below]
M. Jeremie Lafitte (Levitas), Latex source for the pdf file [Sent by M. Jeremie Lafitte (Levitas) to NJAS in 1995 - see file of emails below]
M. Jeremie Lafitte (Levitas) and N. J. A. Sloane, Emails, 1995-2007 (The three sequences mentioned in this correspondence are now A000360, A000361, A000876)
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CROSSREFS
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Cf. A000360, A000876.
Sequence in context: A151893 A326566 A213953 * A246596 A135723 A125311
Adjacent sequences: A000358 A000359 A000360 * A000362 A000363 A000364
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KEYWORD
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nonn,eigen,nice,more
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AUTHOR
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M. Jeremie Lafitte (Levitas)
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STATUS
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approved
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