A363202 - OEIS

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A363202

Number of free linear polycubes of size n, identifying rotations and reflections.

1, 1, 2, 4, 12, 34, 125, 450, 1780, 7021, 28521, 115553, 472578, 1927634, 7890893, 32221475, 131812746, 538059836, 2198986587, 8970624060, 36628143111, 149328243327, 609238673619

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Linear polycubes have two end points with one neighbor, the remaining cubes all have two neighbors.

Identifying rotations but not reflections gives A363201.

The fixed version is A118339.

LINKS

Table of n, a(n) for n=1..23.

Arthur O'Dwyer, Polyomino strips, snakes, and ouroboroi, 2022.

CROSSREFS

Cf. A304196 (tree-like polycubes), A363208, A363209, A363210.