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

1,2

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

Table of n, a(n) for n=1..15.

G. P. Jelliss, Dissected Hexagons, The Games and Puzzles Journal, Issue 22, January-April 2002.

Crossrefs

Cf. A113900, A268606, A271741.

Sequence in context: A098431 A231085 A059522 * A113149 A156143 A007129

Adjacent sequences: A271854 A271855 A271856 * A271858 A271859 A271860

Keyword

nonn

Author

Andrew Howroyd, Apr 15 2016

Status

approved