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A317629
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The number of contiguous buildings which can be built from n 1 X 2 LEGO jumper plates.
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0
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1, 6, 37, 234, 1489, 9534, 61169, 393314, 2531777, 16316262, 105237737, 679336650, 4388301841, 28366361206
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OFFSET
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1,2
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COMMENTS
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A 1 X 2 LEGO jumper plate has a single stud on the top face which may be inserted into the bottom face of another such plate in three different positions.
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LINKS
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David M. McClendon and Jonathon Wilson: The entropy of LEGO jumper plates, to appear in The mathematics of various entertaining subjects. Vol. 3, Princeton University Press.
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EXAMPLE
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The six different ways of connecting one such plate to another yield 6^(n-1) buildings which are of maximal height. The smallest building not of this type occurs at n=3 and has two parallel plates at the bottom level connected by one in the top level which is perpendicular to them.
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CROSSREFS
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KEYWORD
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nonn,hard
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AUTHOR
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STATUS
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approved
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