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Omni-MATH / Let n be a positive integer. A child builds a wall along a line with n identical cubes. He lays the first cube on the line and at each subsequent step, he lays the next cube either…

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problem

Let nn be a positive integer. A child builds a wall along a line with nn identical cubes. He lays the first cube on the line and at each subsequent step, he lays the next cube either on the ground or on the top of another cube, so that it has a common face with the previous one. How many such distinct walls exist?
Plain-text mathematical notation (without MathML)
Let n be a positive integer. A child builds a wall along a line with n identical cubes. He lays the first cube on the line and at each subsequent step, he lays the next cube either on the ground or on the top of another cube, so that it has a common face with the previous one. How many such distinct walls exist?
Original LaTeX notation
Let $n$ be a positive integer. A child builds a wall along a line with $n$ identical cubes. He lays the first cube on the line and at each subsequent step, he lays the next cube either on the ground or on the top of another cube, so that it has a common face with the previous one. How many such distinct walls exist?

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Source and history

task_id
812abb2b-a06b-550d-8c5e-c7214dbeeaf0
task_key
test--812abb2b-a06b-550d-8c5e-c7214dbeeaf0
task_revision_id
1
config / split
/ test

Official source

initial import