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Number of ways to dissect a hexagon with side length n exactly into six identical parts in a triangular lattice.
3

%I #12 Jan 15 2017 12:01:35

%S 1,2,12,173,5429,392544,66961869,27094069322,26124568587557,

%T 60352331499840380,335377713005955826349,4494480789037552980419332,

%U 145516206571394421594063628243,11398373584242623552596178870957640,2162546126021822830176241418936795142991

%N Number of ways to dissect a hexagon with side length n exactly into six identical parts in a triangular lattice.

%C 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.

%H G. P. Jelliss, <a href="http://www.mayhematics.com/j/gpj22.htm#(3)">Dissected Hexagons</a>, The Games and Puzzles Journal, Issue 22, January-April 2002.

%Y Cf. A113900, A268606, A271741.

%K nonn

%O 1,2

%A _Andrew Howroyd_, Apr 15 2016