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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. +0
3
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; listen)
OFFSET

0,3

COMMENT

Counting filled equal triangles along lines on the Mandelvyn Triangle.

REFERENCES

Melvyn J. Lafitte, Sur l'Effet Noa`h en Geometrie, rapport a l'INPI, Mars 1995.

Melvyn J. Lafitte, Ensembles Auto-Similaires d'Interieur Non-Vide, Preprint Hiver 1997, Chaire de Geometrie, Departement de Mathematiques, Ecole Polytechnique Federale de Lausanne, Switzerland.

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.

CROSSREFS

Cf. A000360, A000876.

Sequence in context: A024957 A153914 A151893 this_sequence A135723 A125311 A127568

Adjacent sequences: A000358 A000359 A000360 this_sequence A000362 A000363 A000364

KEYWORD

nonn,eigen,nice

AUTHOR

Melvyn Jeremie Lafitte (mjlafitte(AT)gmail.com)

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Last modified December 6 11:04 EST 2009. Contains 170427 sequences.


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