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A128153 The number of regular pentagons found by constructing points on each side of the pentagon such that these points divide each side into equally-sized segments (i.e. a midpoint each side or 2 points on each side placed to divide each side into 3 equally-sized segments or so on), do the same construction for every side of the pentagon so that each side is equally divided in the same way. Connect all such points to each other with lines that are parallel to at least 1 side of the pentagon. Also connect all vertices of the pentagon with lines that are parallel to at least 1 side of the pentagon. With 0 points, there is only 1 pentagon. With 1 point (a midpoint on each side), 9 regular pentagons are found. With 2 points, 20 regular pentagons are found in total. +0
1
1, 9, 20, 37 (list; graph; listen)
OFFSET

1,2

COMMENT

Similar to constructions for A002717 (dividing a triangle), A000330 (dividing a square), and sequences pending for dividing other polygons.

CROSSREFS

Sequence in context: A017497 A059108 A028566 this_sequence A109805 A013573 A013338

Adjacent sequences: A128150 A128151 A128152 this_sequence A128154 A128155 A128156

KEYWORD

easy,uned,nonn

AUTHOR

Noah Priluck (npriluck(AT)gmail.com), May 02 2007

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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