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A128828 The number of regular hexagons found by constructing points on each side of the hexagon 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 hexagon 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 hexagon. With 0 points, there is only 1 hexagon. With 1 point (a midpoint on each side), 2 regular hexagons are found. With 3 points on each side, 15 regular hexagons are found in total and so on. +0
1
1, 2, 15, 28, 65, 120 (list; graph; listen)
OFFSET

1,2

COMMENT

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

CROSSREFS

Sequence in context: A023651 A116028 A075312 this_sequence A032002 A071999 A031289

Adjacent sequences: A128825 A128826 A128827 this_sequence A128829 A128830 A128831

KEYWORD

nonn

AUTHOR

Noah Priluck (npriluck(AT)gmail.com), May 08 2007

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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