A271857 Number of ways to dissect a hexagon with side length n exactly into six identical parts in a triangular lattice.

1, 2, 12, 173, 5429, 392544, 66961869, 27094069322, 26124568587557, 60352331499840380, 335377713005955826349, 4494480789037552980419332, 145516206571394421594063628243, 11398373584242623552596178870957640, 2162546126021822830176241418936795142991

Offset: 1

Author

Andrew Howroyd, Apr 15 2016

Keywords

• nonn

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

Cf. A113900, A268606, A271741.