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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
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)
OFFSET

0,3

COMMENTS

Counting filled equal triangles along lines on the Mandelvyn Triangle.

REFERENCES

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.

LINKS

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)

CROSSREFS

Cf. A000360, A000876.

Sequence in context: A153914 A151893 A213953 * A246596 A135723 A125311

Adjacent sequences:  A000358 A000359 A000360 * A000362 A000363 A000364

KEYWORD

nonn,eigen,nice,more

AUTHOR

M. Jeremie Lafitte (Levitas)

STATUS

approved

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Last modified May 29 03:40 EDT 2017. Contains 287242 sequences.