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A271857
Number of ways to dissect a hexagon with side length n exactly into six identical parts in a triangular lattice.
3
1, 2, 12, 173, 5429, 392544, 66961869, 27094069322, 26124568587557, 60352331499840380, 335377713005955826349, 4494480789037552980419332, 145516206571394421594063628243, 11398373584242623552596178870957640, 2162546126021822830176241418936795142991
OFFSET
1,2
COMMENTS
This sequence only enumerates those dissections in which the six pieces are arranged around the center at 60-degree intervals. Other dissections are possible, such as those formed from those trisections which can be further bisected into identical parts.
LINKS
G. P. Jelliss, Dissected Hexagons, The Games and Puzzles Journal, Issue 22, January-April 2002.
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrew Howroyd, Apr 15 2016
STATUS
approved