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Total number of ways a triangle of order n can be completely surrounded by a specific pentiamond.
2

%I #21 Nov 03 2024 19:25:53

%S 160,24,27,8,0,0,0

%N Total number of ways a triangle of order n can be completely surrounded by a specific pentiamond.

%C The coronal expansion number is defined to be the number of expansions the central host frame can undergo and still have a corona formed by the coronal tile. The coronal expansion number is 4 for this sequence. See the links section for an example of a pseudo-triangle as the central host frame that has a coronal expansion number of 7. _Craig Knecht_, Oct 31 2024

%H Craig Knecht, <a href="/A376899/a376899_2.png">Pseudo triangle with a coronal expansion number of 7.</a>

%H Craig Knecht, <a href="/A376899/a376899.png">The 160 ways this pentiamond can surround a T1 triangle</a>.

%H Craig Knecht, <a href="/A376899/a376899_1.png">T2, T3, and T4 surrounded by this pentiamond</a>.

%K nonn,more

%O 1,1

%A _Craig Knecht_, Oct 08 2024