A317629 The number of contiguous buildings which can be built from n 1 X 2 LEGO jumper plates.

1, 6, 37, 234, 1489, 9534, 61169, 393314, 2531777, 16316262, 105237737, 679336650, 4388301841, 28366361206

Offset: 1

Author

Søren Eilers, Aug 02 2018

Keywords

• nonn
• hard

Comments

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.

Examples

			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.
		

Links

• 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.