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Number of tilings of n interlocking sphinx tiled shape subunits.
1

%I #23 Aug 17 2017 21:11:29

%S 18,444,11700,320640,9012060,257487624

%N Number of tilings of n interlocking sphinx tiled shape subunits.

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

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

%C In contrast to the stackable shape this shape is interlocking.

%C This shape has one female and three male parts.

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

%C The various polymer configurations from a central nucleus are shown.

%H Craig Knecht, <a href="/A289941/a289941.png">Example for this sequence.</a>

%H Craig Knecht, <a href="/A289941/a289941_4.png">Geometry of the sphinx applied to a polymerization process.</a>

%H Craig Knecht, <a href="/A289941/a289941_6.png">Other examples of interlocking shapes.</a>

%Y Cf. A067411, A279887, A287999.

%K nonn,more

%O 1,1

%A _Craig Knecht_, Jul 15 2017