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%I #7 Aug 04 2018 22:56:32
%S 1,6,37,234,1489,9534,61169,393314,2531777,16316262,105237737,
%T 679336650,4388301841,28366361206
%N The number of contiguous buildings which can be built from n 1 X 2 LEGO jumper plates.
%C 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.
%H David M. McClendon and Jonathon Wilson: <a href="http://mcclendonmath.com/papers/jumperplate.pdf">The entropy of LEGO jumper plates</a>, to appear in The mathematics of various entertaining subjects. Vol. 3, Princeton University Press.
%e 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.
%K nonn,hard
%O 1,2
%A _Søren Eilers_, Aug 02 2018
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