A289941 Number of tilings of n interlocking sphinx tiled shape subunits.

18, 444, 11700, 320640, 9012060, 257487624

Offset

1,1

Comments

The shape for this sequence attempts to find a connection between the unique geometry of the sphinx tile and a polymerization process.

The number of tilings of a stackable sphinx tiled shape has previously been described A287999.

In contrast to the stackable shape this shape is interlocking.

This shape has one female and three male parts.

The properties of this shape that inhibit different polymerizations are noted.

The various polymer configurations from a central nucleus are shown.

Links

Table of n, a(n) for n=1..6.

Craig Knecht, Example for this sequence.

Craig Knecht, Geometry of the sphinx applied to a polymerization process.

Craig Knecht, Other examples of interlocking shapes.

Crossrefs

Cf. A067411, A279887, A287999.

Sequence in context: A361549 A326368 A197343 * A254211 A086501 A204241

Adjacent sequences: A289938 A289939 A289940 * A289942 A289943 A289944

Keyword

nonn,more

Author

Craig Knecht, Jul 15 2017

Status

approved