A191148 Number of n-cell fixed line-convex polycubes in 3 dimensions.

1, 3, 15, 86, 522, 3241, 20256, 126520

Offset

1,2

Comments

A polycube is "line-convex" if every axis-parallel line intersects it in at most one continuous sequence of cells.

References

G. Aleksandrowicz and G. Barequet, Parallel enumeration of lattice animals, Proc. 5th Int. Frontiers of Algorithmics Workshop, Zhejiang, China, Lecture Notes in Computer Science, 6681, Springer-Verlag, 90-99, May 2011.

Links

Table of n, a(n) for n=1..8.

Crossrefs

Cf. A067675 (convex polyominoes).

Sequence in context: A127085 A326275 A093615 * A001931 A306524 A355097

Adjacent sequences: A191145 A191146 A191147 * A191149 A191150 A191151

Keyword

nonn,more,hard

Author

Gill Barequet, May 26 2011

Status

approved